Partial stabilization and control of distributed parameter systems with elastic elements:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Lecture notes in control and information sciences
458 |
| Subjects: | |
| Online Access: | BHS01 BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783319115320 |
| DOI: | 10.1007/978-3-319-11532-0 |
Staff View
MARC
| LEADER | 00000nmm a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV042254873 | ||
| 003 | DE-604 | ||
| 005 | 20170519 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150105s2015 |||| o||u| ||||||eng d | ||
| 020 | |a 9783319115320 |c Online |9 978-3-319-11532-0 | ||
| 024 | 7 | |a 10.1007/978-3-319-11532-0 |2 doi | |
| 035 | |a (OCoLC)897550184 | ||
| 035 | |a (DE-599)BSZ420330526 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 |a DE-Aug4 |a DE-1043 |a DE-1046 |a DE-859 |a DE-92 |a DE-898 |a DE-863 |a DE-862 |a DE-573 |a DE-B768 |a DE-861 |a DE-706 | ||
| 050 | 0 | |a TJ212-225 | |
| 082 | 0 | |a 629.8 | |
| 084 | |a SI 845 |0 (DE-625)143198: |2 rvk | ||
| 100 | 1 | |a Zuyev, Alexander L. |e Verfasser |0 (DE-588)1063664845 |4 aut | |
| 245 | 1 | 0 | |a Partial stabilization and control of distributed parameter systems with elastic elements |c Alexander L. Zuyev |
| 264 | 1 | |a Cham [u.a.] |b Springer |c 2015 | |
| 300 | |a 1 Online-Ressource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in control and information sciences |v 458 | |
| 650 | 4 | |a Ingenieurwissenschaften | |
| 650 | 4 | |a Systems theory | |
| 650 | 4 | |a Mechanical engineering | |
| 650 | 4 | |a Engineering | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-3-319-11531-3 |
| 830 | 0 | |a Lecture notes in control and information sciences |v 458 |w (DE-604)BV014011570 |9 458 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-319-11532-0 |x Verlag |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027692790&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027692790&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-ENG | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027692790 | ||
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l BHS01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l BTU01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l FAB01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l FAW01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l FHA01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l FHI01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l FHN01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l FHR01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l FKE01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l FRO01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l FWS01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l FWS02 |p ZDB-2-ENG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-319-11532-0 |l UBY01 |p ZDB-2-ENG |x Verlag |3 Volltext | |
Record in the Search Index
| DE-BY-FWS_katkey | 541574 |
|---|---|
| _version_ | 1824554402252324864 |
| adam_text | PARTIAL STABILIZATION AND CONTROL OF DISTRIBUTED PARAMETER SYSTEMS WITH
ELASTIC ELEMENTS
/ ZUYEV, ALEXANDER L.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
BASIC RESULTS FROM THE THEORY OF CONTINUOUS SEMIGROUPS OF OPERATOR
PARTIAL ASYMPTOTIC STABILITY
STABILIZATION OF A ROTATING BODY WITH EULER–BERNOULLI BEAMS
REACHABLE SETS AND CONTROLLABILITY CONDITIONS
OBSERVER-BASED STABILIZATION OF A MANIPULATOR BASED ON THE TIMOSHENKO
BEAM MODEL
CONTROL AND STABILIZATION OF A ROTATING KIRCHHOFF PLATE.-APPENDICES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
PARTIAL STABILIZATION AND CONTROL OF DISTRIBUTED PARAMETER SYSTEMS WITH
ELASTIC ELEMENTS
/ ZUYEV, ALEXANDER L.
: 2015
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH PROVIDES A RIGOROUS TREATMENT OF PROBLEMS RELATED TO
PARTIAL ASYMPTOTIC STABILITY AND CONTROLLABILITY FOR MODELS OF FLEXIBLE
STRUCTURES DESCRIBED BY COUPLED NONLINEAR ORDINARY AND PARTIAL
DIFFERENTIAL EQUATIONS OR EQUATIONS IN ABSTRACT SPACES. THE TEXT IS
SELF-CONTAINED, BEGINNING WITH SOME BASIC RESULTS FROM THE THEORY OF
CONTINUOUS SEMIGROUPS OF OPERATORS IN BANACH SPACES. THE PROBLEM OF
PARTIAL ASYMPTOTIC STABILITY WITH RESPECT TO A CONTINUOUS FUNCTIONAL IS
THEN CONSIDERED FOR A CLASS OF ABSTRACT MULTIVALUED SYSTEMS ON A METRIC
SPACE. NEXT, THE RESULTS OF THIS STUDY ARE APPLIED TO THE STUDY OF A
ROTATING BODY WITH ELASTIC ATTACHMENTS. PROFESSOR ZUYEV DEMONSTRATES
THAT THE EQUILIBRIUM CANNOT BE MADE STRONGLY ASYMPTOTICALLY STABLE IN
THE GENERAL CASE, MOTIVATING CONSIDERATION OF THE PROBLEM OF PARTIAL
STABILIZATION WITH RESPECT TO THE FUNCTIONAL THAT REPRESENTS
“AVERAGED” OSCILLATIONS. THE BOOK’S FOCUS MOVES ON TO SPILLOVER
ANALYSIS FOR INFINITE-DIMENSIONAL SYSTEMS WITH FINITE-DIMENSIONAL
CONTROLS. IT IS SHOWN THAT A FAMILY OF L2-MINIMAL CONTROLS,
CORRESPONDING TO LOW FREQUENCIES, CAN BE USED TO OBTAIN APPROXIMATE
SOLUTIONS OF THE STEERING PROBLEM FOR THE COMPLETE SYSTEM. THE BOOK
TURNS FROM THE EXAMINATION OF AN ABSTRACT CLASS OF SYSTEMS TO PARTICULAR
PHYSICAL EXAMPLES. TIMOSHENKO BEAM THEORY IS EXPLOITED IN STUDYING A
MATHEMATICAL MODEL OF A FLEXIBLE-LINK MANIPULATOR. FINALLY, A
MECHANICAL SYSTEM CONSISTING OF A RIGID BODY WITH THE KIRCHHOFF PLATE IS
CONSIDERED. HAVING ESTABLISHED THAT SUCH ASYSTEM IS NOT CONTROLLABLE
IN GENERAL, SUFFICIENT CONTROLLABILITY CONDITIONS ARE PROPOSED FOR THE
DYNAMICS ON AN INVARIANT MANIFOLD. ACADEMIC RESEARCHERS AND GRADUATE
STUDENTS INTERESTED IN CONTROL THEORY AND MECHANICAL ENGINEERING WILL
FIND PARTIAL STABILIZATION AND CONTROL OF DISTRIBUTED-PARAMETER SYSTEMS
WITH ELASTIC ELEMENTS A VALUABLE AND AUTHORITATIVE RESOURCE FOR
INVESTIGATIONS ON THE SUBJECT OF PARTIAL STABILIZATION
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Zuyev, Alexander L. |
| author_GND | (DE-588)1063664845 |
| author_facet | Zuyev, Alexander L. |
| author_role | aut |
| author_sort | Zuyev, Alexander L. |
| author_variant | a l z al alz |
| building | Verbundindex |
| bvnumber | BV042254873 |
| callnumber-first | T - Technology |
| callnumber-label | TJ212-225 |
| callnumber-raw | TJ212-225 |
| callnumber-search | TJ212-225 |
| callnumber-sort | TJ 3212 3225 |
| callnumber-subject | TJ - Mechanical Engineering and Machinery |
| classification_rvk | SI 845 |
| collection | ZDB-2-ENG |
| ctrlnum | (OCoLC)897550184 (DE-599)BSZ420330526 |
| dewey-full | 629.8 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8 |
| dewey-search | 629.8 |
| dewey-sort | 3629.8 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| doi_str_mv | 10.1007/978-3-319-11532-0 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03235nmm a2200589 cb4500</leader><controlfield tag="001">BV042254873</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20170519 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150105s2015 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319115320</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-319-11532-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-319-11532-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)897550184</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BSZ420330526</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-1043</subfield><subfield code="a">DE-1046</subfield><subfield code="a">DE-859</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-863</subfield><subfield code="a">DE-862</subfield><subfield code="a">DE-573</subfield><subfield code="a">DE-B768</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">TJ212-225</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">629.8</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 845</subfield><subfield code="0">(DE-625)143198:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zuyev, Alexander L.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1063664845</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Partial stabilization and control of distributed parameter systems with elastic elements</subfield><subfield code="c">Alexander L. Zuyev</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in control and information sciences</subfield><subfield code="v">458</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ingenieurwissenschaften</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systems theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanical engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-3-319-11531-3</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in control and information sciences</subfield><subfield code="v">458</subfield><subfield code="w">(DE-604)BV014011570</subfield><subfield code="9">458</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027692790&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027692790&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-ENG</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027692790</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">BHS01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">FAB01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">FHA01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">FHI01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">FHR01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">FKE01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">FRO01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">FWS01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">FWS02</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-319-11532-0</subfield><subfield code="l">UBY01</subfield><subfield code="p">ZDB-2-ENG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV042254873 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-20T06:51:12Z |
| institution | BVB |
| isbn | 9783319115320 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027692790 |
| oclc_num | 897550184 |
| open_access_boolean | |
| owner | DE-634 DE-Aug4 DE-1043 DE-1046 DE-859 DE-92 DE-898 DE-BY-UBR DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-573 DE-B768 DE-861 DE-706 |
| owner_facet | DE-634 DE-Aug4 DE-1043 DE-1046 DE-859 DE-92 DE-898 DE-BY-UBR DE-863 DE-BY-FWS DE-862 DE-BY-FWS DE-573 DE-B768 DE-861 DE-706 |
| physical | 1 Online-Ressource |
| psigel | ZDB-2-ENG |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spellingShingle | Zuyev, Alexander L. Partial stabilization and control of distributed parameter systems with elastic elements Lecture notes in control and information sciences Ingenieurwissenschaften Systems theory Mechanical engineering Engineering |
| title | Partial stabilization and control of distributed parameter systems with elastic elements |
| title_auth | Partial stabilization and control of distributed parameter systems with elastic elements |
| title_exact_search | Partial stabilization and control of distributed parameter systems with elastic elements |
| title_full | Partial stabilization and control of distributed parameter systems with elastic elements Alexander L. Zuyev |
| title_fullStr | Partial stabilization and control of distributed parameter systems with elastic elements Alexander L. Zuyev |
| title_full_unstemmed | Partial stabilization and control of distributed parameter systems with elastic elements Alexander L. Zuyev |
| title_short | Partial stabilization and control of distributed parameter systems with elastic elements |
| title_sort | partial stabilization and control of distributed parameter systems with elastic elements |
| topic | Ingenieurwissenschaften Systems theory Mechanical engineering Engineering |
| topic_facet | Ingenieurwissenschaften Systems theory Mechanical engineering Engineering |
| url | https://doi.org/10.1007/978-3-319-11532-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027692790&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027692790&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014011570 |
| work_keys_str_mv | AT zuyevalexanderl partialstabilizationandcontrolofdistributedparametersystemswithelasticelements |