Rational function systems and electrical networks with multi-parameters /:
To overcome the problems of system theory and network theory over real field, this book uses matrices over the field F(z) of rational functions in multiparameters describing coefficient matrices of systems and networks and makes systems and network description over F(z) and researches their structur...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Beijing : Singapore :
Higher Education Press ; World Scientific,
[2012]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | To overcome the problems of system theory and network theory over real field, this book uses matrices over the field F(z) of rational functions in multiparameters describing coefficient matrices of systems and networks and makes systems and network description over F(z) and researches their structural properties: reducible condition of a class of matrices over F(z) and their characteristic polynomial; type1 matrix and two basic properties; variable replacement conditions for independent parameters; structural controllability and observability of linear systems over F(z); separability, reducibi. |
| Beschreibung: | 1 online resource (xiii, 304 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9814412430 9789814412438 9787894236357 7894236357 |
Internformat
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn841206456 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 130429t20122012cc a ob 001 0 eng d | ||
| 010 | |a 2012554729 | ||
| 040 | |a YDXCP |b eng |e pn |c YDXCP |d OCLCO |d N$T |d IDEBK |d OCLCF |d OCLCQ |d DEBSZ |d OCLCQ |d EBLCP |d AGLDB |d MERUC |d OCLCQ |d JBG |d ZCU |d U3W |d OCLCQ |d VTS |d EZ9 |d ICG |d INT |d OCLCQ |d WYU |d OCLCQ |d VT2 |d STF |d OCLCQ |d DKC |d AU@ |d OCLCQ |d UKAHL |d OL$ |d OCLCQ |d LEAUB |d AJS |d OCLCO |d OCLCQ |d OCLCO |d SXB |d OCLCQ | ||
| 016 | 7 | |a 016143861 |2 Uk | |
| 019 | |a 1066560365 |a 1081269869 |a 1086555957 |a 1228599466 | ||
| 020 | |a 9814412430 |q (electronic bk.) | ||
| 020 | |a 9789814412438 |q (electronic bk.) | ||
| 020 | |a 9787894236357 | ||
| 020 | |a 7894236357 | ||
| 020 | |z 9789814412421 | ||
| 020 | |z 9814412422 | ||
| 020 | |z 9787040346930 | ||
| 035 | |a (OCoLC)841206456 |z (OCoLC)1066560365 |z (OCoLC)1081269869 |z (OCoLC)1086555957 |z (OCoLC)1228599466 | ||
| 050 | 4 | |a TK3226 |b .L8 2012 | |
| 072 | 7 | |a TEC |x 007000 |2 bisacsh | |
| 082 | 7 | |a 621.3192 |2 23 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Lu, Kai-Sheng. | |
| 245 | 1 | 0 | |a Rational function systems and electrical networks with multi-parameters / |c Kai-Sheng Lu. |
| 264 | 1 | |a Beijing : |b Higher Education Press ; |a Singapore : |b World Scientific, |c [2012] | |
| 264 | 4 | |c ©2012 | |
| 300 | |a 1 online resource (xiii, 304 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 1 Introduction; 2 Matrices over Field F(z) of RationalFunctions in Multi-parameters; 2.1 Polynomials over Field F(z) or Ring F(z)[-]; 2.2 Operations and Determinant of Matrix over F(z); 2.3 Elementary Operations of Matricesover F(z) and Some Conclusions; 2.4 Operation and CanonicalForm of Matrix over F(z); 2.5 Reducibility of Square Matrix over F(z); 2.6 Reducibility Condition of Classof Matrices over F(z); 2.7 Two Properties; 2.8 Independent Parameters and a Class ofIrreducible Polynomials over F(z); 2.9 Conclusions; 2.10 New Model and Its Reducibility; References. | |
| 505 | 8 | |a 3 Controllability and Observability ofLinear Systems over F(z)3.1 Controllability and Observability in Time Domain; 3.2 Controllability and Observabilityin Frequency Domain; References; 4 Electrical Networks over F(z); 4.1 Resistor-Source Networks over F(z); 4.2 Separability and Reducibility Conditions of RLCNetworks over F(z) and Their Applications; 4.3 Controllability and Observability ofRLC Networks over F(z); 4.4 Structural Condition of Controllability for RLCNetworks over F(z); 4.5 Structural Condition of Observability forRLC Networks over F(z). | |
| 505 | 8 | |a 5.3 Some Issues5.4 Quasi Structural Controllability andObservability Concept of NonlinearSystems and Its Applications; References; Appendix; Appendix A Some Well-known Results; Appendix C Proof of Theorem 4.15; Appendix D Proofs of Some Conclusions; References; Index. | |
| 520 | |a To overcome the problems of system theory and network theory over real field, this book uses matrices over the field F(z) of rational functions in multiparameters describing coefficient matrices of systems and networks and makes systems and network description over F(z) and researches their structural properties: reducible condition of a class of matrices over F(z) and their characteristic polynomial; type1 matrix and two basic properties; variable replacement conditions for independent parameters; structural controllability and observability of linear systems over F(z); separability, reducibi. | ||
| 650 | 0 | |a Electric networks. |0 http://id.loc.gov/authorities/subjects/sh85041866 | |
| 650 | 0 | |a Electric circuits. |0 http://id.loc.gov/authorities/subjects/sh85041611 | |
| 650 | 0 | |a Matrices. |0 http://id.loc.gov/authorities/subjects/sh85082210 | |
| 650 | 6 | |a Réseaux électriques (Circuits) | |
| 650 | 6 | |a Circuits électriques. | |
| 650 | 6 | |a Matrices. | |
| 650 | 7 | |a circuits. |2 aat | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Electrical. |2 bisacsh | |
| 650 | 7 | |a Electric circuits |2 fast | |
| 650 | 7 | |a Electric networks |2 fast | |
| 650 | 7 | |a Matrices |2 fast | |
| 776 | 0 | 8 | |i Print version: |z 9789814412421 |z 9814412422 |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=579417 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH25589538 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL4713829 | ||
| 938 | |a EBSCOhost |b EBSC |n 579417 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis25731569 | ||
| 938 | |a YBP Library Services |b YANK |n 10358315 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn841206456 |
|---|---|
| _version_ | 1816882231575052289 |
| adam_text | |
| any_adam_object | |
| author | Lu, Kai-Sheng |
| author_facet | Lu, Kai-Sheng |
| author_role | |
| author_sort | Lu, Kai-Sheng |
| author_variant | k s l ksl |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | T - Technology |
| callnumber-label | TK3226 |
| callnumber-raw | TK3226 .L8 2012 |
| callnumber-search | TK3226 .L8 2012 |
| callnumber-sort | TK 43226 L8 42012 |
| callnumber-subject | TK - Electrical and Nuclear Engineering |
| collection | ZDB-4-EBA |
| contents | 1 Introduction; 2 Matrices over Field F(z) of RationalFunctions in Multi-parameters; 2.1 Polynomials over Field F(z) or Ring F(z)[-]; 2.2 Operations and Determinant of Matrix over F(z); 2.3 Elementary Operations of Matricesover F(z) and Some Conclusions; 2.4 Operation and CanonicalForm of Matrix over F(z); 2.5 Reducibility of Square Matrix over F(z); 2.6 Reducibility Condition of Classof Matrices over F(z); 2.7 Two Properties; 2.8 Independent Parameters and a Class ofIrreducible Polynomials over F(z); 2.9 Conclusions; 2.10 New Model and Its Reducibility; References. 3 Controllability and Observability ofLinear Systems over F(z)3.1 Controllability and Observability in Time Domain; 3.2 Controllability and Observabilityin Frequency Domain; References; 4 Electrical Networks over F(z); 4.1 Resistor-Source Networks over F(z); 4.2 Separability and Reducibility Conditions of RLCNetworks over F(z) and Their Applications; 4.3 Controllability and Observability ofRLC Networks over F(z); 4.4 Structural Condition of Controllability for RLCNetworks over F(z); 4.5 Structural Condition of Observability forRLC Networks over F(z). 5.3 Some Issues5.4 Quasi Structural Controllability andObservability Concept of NonlinearSystems and Its Applications; References; Appendix; Appendix A Some Well-known Results; Appendix C Proof of Theorem 4.15; Appendix D Proofs of Some Conclusions; References; Index. |
| ctrlnum | (OCoLC)841206456 |
| dewey-full | 621.3192 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3192 |
| dewey-search | 621.3192 |
| dewey-sort | 3621.3192 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04727cam a2200685Mi 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn841206456</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr |n|||||||||</controlfield><controlfield tag="008">130429t20122012cc a ob 001 0 eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a"> 2012554729</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">YDXCP</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">YDXCP</subfield><subfield code="d">OCLCO</subfield><subfield code="d">N$T</subfield><subfield code="d">IDEBK</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">EBLCP</subfield><subfield code="d">AGLDB</subfield><subfield code="d">MERUC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">JBG</subfield><subfield code="d">ZCU</subfield><subfield code="d">U3W</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">EZ9</subfield><subfield code="d">ICG</subfield><subfield code="d">INT</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">WYU</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VT2</subfield><subfield code="d">STF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DKC</subfield><subfield code="d">AU@</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OL$</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">LEAUB</subfield><subfield code="d">AJS</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">SXB</subfield><subfield code="d">OCLCQ</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">016143861</subfield><subfield code="2">Uk</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">1066560365</subfield><subfield code="a">1081269869</subfield><subfield code="a">1086555957</subfield><subfield code="a">1228599466</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9814412430</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789814412438</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9787894236357</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">7894236357</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9789814412421</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9814412422</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9787040346930</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)841206456</subfield><subfield code="z">(OCoLC)1066560365</subfield><subfield code="z">(OCoLC)1081269869</subfield><subfield code="z">(OCoLC)1086555957</subfield><subfield code="z">(OCoLC)1228599466</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">TK3226</subfield><subfield code="b">.L8 2012</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">TEC</subfield><subfield code="x">007000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">621.3192</subfield><subfield code="2">23</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lu, Kai-Sheng.</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Rational function systems and electrical networks with multi-parameters /</subfield><subfield code="c">Kai-Sheng Lu.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Beijing :</subfield><subfield code="b">Higher Education Press ;</subfield><subfield code="a">Singapore :</subfield><subfield code="b">World Scientific,</subfield><subfield code="c">[2012]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xiii, 304 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">1 Introduction; 2 Matrices over Field F(z) of RationalFunctions in Multi-parameters; 2.1 Polynomials over Field F(z) or Ring F(z)[-]; 2.2 Operations and Determinant of Matrix over F(z); 2.3 Elementary Operations of Matricesover F(z) and Some Conclusions; 2.4 Operation and CanonicalForm of Matrix over F(z); 2.5 Reducibility of Square Matrix over F(z); 2.6 Reducibility Condition of Classof Matrices over F(z); 2.7 Two Properties; 2.8 Independent Parameters and a Class ofIrreducible Polynomials over F(z); 2.9 Conclusions; 2.10 New Model and Its Reducibility; References.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">3 Controllability and Observability ofLinear Systems over F(z)3.1 Controllability and Observability in Time Domain; 3.2 Controllability and Observabilityin Frequency Domain; References; 4 Electrical Networks over F(z); 4.1 Resistor-Source Networks over F(z); 4.2 Separability and Reducibility Conditions of RLCNetworks over F(z) and Their Applications; 4.3 Controllability and Observability ofRLC Networks over F(z); 4.4 Structural Condition of Controllability for RLCNetworks over F(z); 4.5 Structural Condition of Observability forRLC Networks over F(z).</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">5.3 Some Issues5.4 Quasi Structural Controllability andObservability Concept of NonlinearSystems and Its Applications; References; Appendix; Appendix A Some Well-known Results; Appendix C Proof of Theorem 4.15; Appendix D Proofs of Some Conclusions; References; Index.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">To overcome the problems of system theory and network theory over real field, this book uses matrices over the field F(z) of rational functions in multiparameters describing coefficient matrices of systems and networks and makes systems and network description over F(z) and researches their structural properties: reducible condition of a class of matrices over F(z) and their characteristic polynomial; type1 matrix and two basic properties; variable replacement conditions for independent parameters; structural controllability and observability of linear systems over F(z); separability, reducibi.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Electric networks.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85041866</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Electric circuits.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85041611</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Matrices.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85082210</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Réseaux électriques (Circuits)</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Circuits électriques.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Matrices.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">circuits.</subfield><subfield code="2">aat</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">TECHNOLOGY & ENGINEERING</subfield><subfield code="x">Electrical.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Electric circuits</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Electric networks</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Matrices</subfield><subfield code="2">fast</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="z">9789814412421</subfield><subfield code="z">9814412422</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=579417</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH25589538</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - Ebook Library</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL4713829</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">579417</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">cis25731569</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">10358315</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn841206456 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:19Z |
| institution | BVB |
| isbn | 9814412430 9789814412438 9787894236357 7894236357 |
| language | English |
| lccn | 2012554729 |
| oclc_num | 841206456 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 304 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Higher Education Press ; World Scientific, |
| record_format | marc |
| spelling | Lu, Kai-Sheng. Rational function systems and electrical networks with multi-parameters / Kai-Sheng Lu. Beijing : Higher Education Press ; Singapore : World Scientific, [2012] ©2012 1 online resource (xiii, 304 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Print version record. 1 Introduction; 2 Matrices over Field F(z) of RationalFunctions in Multi-parameters; 2.1 Polynomials over Field F(z) or Ring F(z)[-]; 2.2 Operations and Determinant of Matrix over F(z); 2.3 Elementary Operations of Matricesover F(z) and Some Conclusions; 2.4 Operation and CanonicalForm of Matrix over F(z); 2.5 Reducibility of Square Matrix over F(z); 2.6 Reducibility Condition of Classof Matrices over F(z); 2.7 Two Properties; 2.8 Independent Parameters and a Class ofIrreducible Polynomials over F(z); 2.9 Conclusions; 2.10 New Model and Its Reducibility; References. 3 Controllability and Observability ofLinear Systems over F(z)3.1 Controllability and Observability in Time Domain; 3.2 Controllability and Observabilityin Frequency Domain; References; 4 Electrical Networks over F(z); 4.1 Resistor-Source Networks over F(z); 4.2 Separability and Reducibility Conditions of RLCNetworks over F(z) and Their Applications; 4.3 Controllability and Observability ofRLC Networks over F(z); 4.4 Structural Condition of Controllability for RLCNetworks over F(z); 4.5 Structural Condition of Observability forRLC Networks over F(z). 5.3 Some Issues5.4 Quasi Structural Controllability andObservability Concept of NonlinearSystems and Its Applications; References; Appendix; Appendix A Some Well-known Results; Appendix C Proof of Theorem 4.15; Appendix D Proofs of Some Conclusions; References; Index. To overcome the problems of system theory and network theory over real field, this book uses matrices over the field F(z) of rational functions in multiparameters describing coefficient matrices of systems and networks and makes systems and network description over F(z) and researches their structural properties: reducible condition of a class of matrices over F(z) and their characteristic polynomial; type1 matrix and two basic properties; variable replacement conditions for independent parameters; structural controllability and observability of linear systems over F(z); separability, reducibi. Electric networks. http://id.loc.gov/authorities/subjects/sh85041866 Electric circuits. http://id.loc.gov/authorities/subjects/sh85041611 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Réseaux électriques (Circuits) Circuits électriques. Matrices. circuits. aat TECHNOLOGY & ENGINEERING Electrical. bisacsh Electric circuits fast Electric networks fast Matrices fast Print version: 9789814412421 9814412422 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=579417 Volltext |
| spellingShingle | Lu, Kai-Sheng Rational function systems and electrical networks with multi-parameters / 1 Introduction; 2 Matrices over Field F(z) of RationalFunctions in Multi-parameters; 2.1 Polynomials over Field F(z) or Ring F(z)[-]; 2.2 Operations and Determinant of Matrix over F(z); 2.3 Elementary Operations of Matricesover F(z) and Some Conclusions; 2.4 Operation and CanonicalForm of Matrix over F(z); 2.5 Reducibility of Square Matrix over F(z); 2.6 Reducibility Condition of Classof Matrices over F(z); 2.7 Two Properties; 2.8 Independent Parameters and a Class ofIrreducible Polynomials over F(z); 2.9 Conclusions; 2.10 New Model and Its Reducibility; References. 3 Controllability and Observability ofLinear Systems over F(z)3.1 Controllability and Observability in Time Domain; 3.2 Controllability and Observabilityin Frequency Domain; References; 4 Electrical Networks over F(z); 4.1 Resistor-Source Networks over F(z); 4.2 Separability and Reducibility Conditions of RLCNetworks over F(z) and Their Applications; 4.3 Controllability and Observability ofRLC Networks over F(z); 4.4 Structural Condition of Controllability for RLCNetworks over F(z); 4.5 Structural Condition of Observability forRLC Networks over F(z). 5.3 Some Issues5.4 Quasi Structural Controllability andObservability Concept of NonlinearSystems and Its Applications; References; Appendix; Appendix A Some Well-known Results; Appendix C Proof of Theorem 4.15; Appendix D Proofs of Some Conclusions; References; Index. Electric networks. http://id.loc.gov/authorities/subjects/sh85041866 Electric circuits. http://id.loc.gov/authorities/subjects/sh85041611 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Réseaux électriques (Circuits) Circuits électriques. Matrices. circuits. aat TECHNOLOGY & ENGINEERING Electrical. bisacsh Electric circuits fast Electric networks fast Matrices fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85041866 http://id.loc.gov/authorities/subjects/sh85041611 http://id.loc.gov/authorities/subjects/sh85082210 |
| title | Rational function systems and electrical networks with multi-parameters / |
| title_auth | Rational function systems and electrical networks with multi-parameters / |
| title_exact_search | Rational function systems and electrical networks with multi-parameters / |
| title_full | Rational function systems and electrical networks with multi-parameters / Kai-Sheng Lu. |
| title_fullStr | Rational function systems and electrical networks with multi-parameters / Kai-Sheng Lu. |
| title_full_unstemmed | Rational function systems and electrical networks with multi-parameters / Kai-Sheng Lu. |
| title_short | Rational function systems and electrical networks with multi-parameters / |
| title_sort | rational function systems and electrical networks with multi parameters |
| topic | Electric networks. http://id.loc.gov/authorities/subjects/sh85041866 Electric circuits. http://id.loc.gov/authorities/subjects/sh85041611 Matrices. http://id.loc.gov/authorities/subjects/sh85082210 Réseaux électriques (Circuits) Circuits électriques. Matrices. circuits. aat TECHNOLOGY & ENGINEERING Electrical. bisacsh Electric circuits fast Electric networks fast Matrices fast |
| topic_facet | Electric networks. Electric circuits. Matrices. Réseaux électriques (Circuits) Circuits électriques. circuits. TECHNOLOGY & ENGINEERING Electrical. Electric circuits Electric networks Matrices |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=579417 |
| work_keys_str_mv | AT lukaisheng rationalfunctionsystemsandelectricalnetworkswithmultiparameters |