First-order Representations of Linear Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1994
|
| Schriftenreihe: | Systems & Control: Foundations & Applications
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is about the theory of system representations. The systems that are considered are linear, time-invariant, deterministic and finitedimensional. The observation that some representations are more suitable for handling a particular problem than others motivates the study of representations. In modeling a system, a representation often arises naturally from certain laws that underlie the system. In its most general form the representation then consists of dynamical equations for the system components and of constraint equations reflecting the connection between these components. Depending on the particular problem that is to be investigated, it will sometimes be useful to rewrite the equations, that is, to transform the representation. For this reason it is of special importance to derive transformations that enable one to switch from one representation to another. A new approach of the past decade has been the so-called "behavioral approach" introduced by Willems. One of the main features of the behavioral approach is that it is well suited for modeling the interconnection of systems. It is for this reason that the behavioral approach is a natural choice in the context of modeling. In this book we adopt the behavioral approach: we define a system as a "behavior" , that is, a set of trajectories whose mathematical representation by means of differential or difference equations is nonunique. An aspect of this approach that is important in the context of representation theory is the fact that a natural type of equivalence arises |
| Beschreibung: | 1 Online-Ressource (VIII, 198 p) |
| ISBN: | 9781461202592 9781461266846 |
| ISSN: | 2324-9749 |
| DOI: | 10.1007/978-1-4612-0259-2 |
Internformat
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| 245 | 1 | 0 | |a First-order Representations of Linear Systems |c by Margreet Kuijper |
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Datensatz im Suchindex
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| author | Kuijper, Margreet |
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| building | Verbundindex |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0259-2 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781461202592 9781461266846 |
| issn | 2324-9749 |
| language | English |
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| physical | 1 Online-Ressource (VIII, 198 p) |
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| publisher | Birkhäuser Boston |
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| series2 | Systems & Control: Foundations & Applications |
| spelling | Kuijper, Margreet Verfasser aut First-order Representations of Linear Systems by Margreet Kuijper Boston, MA Birkhäuser Boston 1994 1 Online-Ressource (VIII, 198 p) txt rdacontent c rdamedia cr rdacarrier Systems & Control: Foundations & Applications 2324-9749 This book is about the theory of system representations. The systems that are considered are linear, time-invariant, deterministic and finitedimensional. The observation that some representations are more suitable for handling a particular problem than others motivates the study of representations. In modeling a system, a representation often arises naturally from certain laws that underlie the system. In its most general form the representation then consists of dynamical equations for the system components and of constraint equations reflecting the connection between these components. Depending on the particular problem that is to be investigated, it will sometimes be useful to rewrite the equations, that is, to transform the representation. For this reason it is of special importance to derive transformations that enable one to switch from one representation to another. A new approach of the past decade has been the so-called "behavioral approach" introduced by Willems. One of the main features of the behavioral approach is that it is well suited for modeling the interconnection of systems. It is for this reason that the behavioral approach is a natural choice in the context of modeling. In this book we adopt the behavioral approach: we define a system as a "behavior" , that is, a set of trajectories whose mathematical representation by means of differential or difference equations is nonunique. An aspect of this approach that is important in the context of representation theory is the fact that a natural type of equivalence arises Mathematics Mathematics, general Mathematik Lineares zeitinvariantes System (DE-588)4213494-8 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Lineares zeitinvariantes System (DE-588)4213494-8 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-0259-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kuijper, Margreet First-order Representations of Linear Systems Mathematics Mathematics, general Mathematik Lineares zeitinvariantes System (DE-588)4213494-8 gnd |
| subject_GND | (DE-588)4213494-8 (DE-588)4113937-9 |
| title | First-order Representations of Linear Systems |
| title_auth | First-order Representations of Linear Systems |
| title_exact_search | First-order Representations of Linear Systems |
| title_full | First-order Representations of Linear Systems by Margreet Kuijper |
| title_fullStr | First-order Representations of Linear Systems by Margreet Kuijper |
| title_full_unstemmed | First-order Representations of Linear Systems by Margreet Kuijper |
| title_short | First-order Representations of Linear Systems |
| title_sort | first order representations of linear systems |
| topic | Mathematics Mathematics, general Mathematik Lineares zeitinvariantes System (DE-588)4213494-8 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Lineares zeitinvariantes System Hochschulschrift |
| url | https://doi.org/10.1007/978-1-4612-0259-2 |
| work_keys_str_mv | AT kuijpermargreet firstorderrepresentationsoflinearsystems |