Differential-algebraic systems: analytical aspects and circuit applications
Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginni...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2008
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models |
| Beschreibung: | xiv, 330 p. ill |
| ISBN: | 9812791817 9789812791818 |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Riaza, Ricardo |
| author_facet | Riaza, Ricardo |
| author_role | aut |
| author_sort | Riaza, Ricardo |
| author_variant | r r rr |
| building | Verbundindex |
| bvnumber | BV044635415 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00001947 (OCoLC)1012634719 (DE-599)BVBBV044635415 |
| dewey-full | 512.56 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.56 |
| dewey-search | 512.56 |
| dewey-sort | 3512.56 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044635415 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:46Z |
| institution | BVB |
| isbn | 9812791817 9789812791818 |
| language | English |
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| oclc_num | 1012634719 |
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| physical | xiv, 330 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | World Scientific Pub. Co. |
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| spelling | Riaza, Ricardo Verfasser aut Differential-algebraic systems analytical aspects and circuit applications Ricardo Riaza Singapore World Scientific Pub. Co. c2008 xiv, 330 p. ill txt rdacontent c rdamedia cr rdacarrier Differential-algebraic equations (DAEs) provide an essential tool for system modeling and analysis within different fields of applied sciences and engineering. This book addresses modeling issues and analytical properties of DAEs, together with some applications in electrical circuit theory. Beginning with elementary aspects, the author succeeds in providing a self-contained and comprehensive presentation of several advanced topics in DAE theory, such as the full characterization of linear time-varying equations via projector methods or the geometric reduction of nonlinear systems. Recent results on singularities are extensively discussed. The book also addresses in detail differential-algebraic models of electrical and electronic circuits, including index characterizations and qualitative aspects of circuit dynamics. In particular, the reader will find a thorough discussion of the state/semistate dichotomy in circuit modeling. The state formulation problem, which has attracted much attention in the engineering literature, is cleverly tackled here as a reduction problem on semistate models Differential-algebraic equations Electric circuits / Mathematical models Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s 1\p DE-604 http://www.worldscientific.com/worldscibooks/10.1142/6746#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Riaza, Ricardo Differential-algebraic systems analytical aspects and circuit applications Differential-algebraic equations Electric circuits / Mathematical models Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd |
| subject_GND | (DE-588)4229517-8 |
| title | Differential-algebraic systems analytical aspects and circuit applications |
| title_auth | Differential-algebraic systems analytical aspects and circuit applications |
| title_exact_search | Differential-algebraic systems analytical aspects and circuit applications |
| title_full | Differential-algebraic systems analytical aspects and circuit applications Ricardo Riaza |
| title_fullStr | Differential-algebraic systems analytical aspects and circuit applications Ricardo Riaza |
| title_full_unstemmed | Differential-algebraic systems analytical aspects and circuit applications Ricardo Riaza |
| title_short | Differential-algebraic systems |
| title_sort | differential algebraic systems analytical aspects and circuit applications |
| title_sub | analytical aspects and circuit applications |
| topic | Differential-algebraic equations Electric circuits / Mathematical models Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd |
| topic_facet | Differential-algebraic equations Electric circuits / Mathematical models Differential-algebraisches Gleichungssystem |
| url | http://www.worldscientific.com/worldscibooks/10.1142/6746#t=toc |
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