Time-Varying Discrete Linear Systems: Input-Output Operators. Riccati Equations. Disturbance Attenuation
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1994
|
| Schriftenreihe: | Operator Theory Advances and Applications
68 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results |
| Beschreibung: | 1 Online-Ressource (X, 230 p) |
| ISBN: | 9783034884990 9783034896511 |
| DOI: | 10.1007/978-3-0348-8499-0 |
Internformat
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| 245 | 1 | 0 | |a Time-Varying Discrete Linear Systems |b Input-Output Operators. Riccati Equations. Disturbance Attenuation |c by Aristide Halanay, Vlad Ionescu |
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| 490 | 0 | |a Operator Theory Advances and Applications |v 68 | |
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Datensatz im Suchindex
| _version_ | 1804153096156217344 |
|---|---|
| any_adam_object | |
| author | Halanay, Aristide 1924-1997 |
| author_GND | (DE-588)113733003 (DE-588)1139140892 |
| author_facet | Halanay, Aristide 1924-1997 |
| author_role | aut |
| author_sort | Halanay, Aristide 1924-1997 |
| author_variant | a h ah |
| building | Verbundindex |
| bvnumber | BV042422142 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184289469 (DE-599)BVBBV042422142 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8499-0 |
| format | Electronic eBook |
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| id | DE-604.BV042422142 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034884990 9783034896511 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857559 |
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| physical | 1 Online-Ressource (X, 230 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1994 |
| publishDateSearch | 1994 |
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| publisher | Birkhäuser Basel |
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| series2 | Operator Theory Advances and Applications |
| spelling | Halanay, Aristide 1924-1997 Verfasser (DE-588)113733003 aut Time-Varying Discrete Linear Systems Input-Output Operators. Riccati Equations. Disturbance Attenuation by Aristide Halanay, Vlad Ionescu Basel Birkhäuser Basel 1994 1 Online-Ressource (X, 230 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory Advances and Applications 68 Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results Mathematics Matrix theory Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Linear and Multilinear Algebras, Matrix Theory Mathematik Zeitvariantes System (DE-588)4190654-8 gnd rswk-swf Riccati-Differentialgleichung (DE-588)4230752-1 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Zeitvariantes zeitdiskretes System (DE-588)4190656-1 gnd rswk-swf Zeitvariantes zeitdiskretes System (DE-588)4190656-1 s Lineares System (DE-588)4125617-7 s 1\p DE-604 Zeitvariantes System (DE-588)4190654-8 s 2\p DE-604 Riccati-Differentialgleichung (DE-588)4230752-1 s 3\p DE-604 Ionescu, Vlad 1938-2000 Sonstige (DE-588)1139140892 oth https://doi.org/10.1007/978-3-0348-8499-0 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Halanay, Aristide 1924-1997 Time-Varying Discrete Linear Systems Input-Output Operators. Riccati Equations. Disturbance Attenuation Mathematics Matrix theory Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Linear and Multilinear Algebras, Matrix Theory Mathematik Zeitvariantes System (DE-588)4190654-8 gnd Riccati-Differentialgleichung (DE-588)4230752-1 gnd Lineares System (DE-588)4125617-7 gnd Zeitvariantes zeitdiskretes System (DE-588)4190656-1 gnd |
| subject_GND | (DE-588)4190654-8 (DE-588)4230752-1 (DE-588)4125617-7 (DE-588)4190656-1 |
| title | Time-Varying Discrete Linear Systems Input-Output Operators. Riccati Equations. Disturbance Attenuation |
| title_auth | Time-Varying Discrete Linear Systems Input-Output Operators. Riccati Equations. Disturbance Attenuation |
| title_exact_search | Time-Varying Discrete Linear Systems Input-Output Operators. Riccati Equations. Disturbance Attenuation |
| title_full | Time-Varying Discrete Linear Systems Input-Output Operators. Riccati Equations. Disturbance Attenuation by Aristide Halanay, Vlad Ionescu |
| title_fullStr | Time-Varying Discrete Linear Systems Input-Output Operators. Riccati Equations. Disturbance Attenuation by Aristide Halanay, Vlad Ionescu |
| title_full_unstemmed | Time-Varying Discrete Linear Systems Input-Output Operators. Riccati Equations. Disturbance Attenuation by Aristide Halanay, Vlad Ionescu |
| title_short | Time-Varying Discrete Linear Systems |
| title_sort | time varying discrete linear systems input output operators riccati equations disturbance attenuation |
| title_sub | Input-Output Operators. Riccati Equations. Disturbance Attenuation |
| topic | Mathematics Matrix theory Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Linear and Multilinear Algebras, Matrix Theory Mathematik Zeitvariantes System (DE-588)4190654-8 gnd Riccati-Differentialgleichung (DE-588)4230752-1 gnd Lineares System (DE-588)4125617-7 gnd Zeitvariantes zeitdiskretes System (DE-588)4190656-1 gnd |
| topic_facet | Mathematics Matrix theory Global analysis (Mathematics) Systems theory Mathematical optimization Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Linear and Multilinear Algebras, Matrix Theory Mathematik Zeitvariantes System Riccati-Differentialgleichung Lineares System Zeitvariantes zeitdiskretes System |
| url | https://doi.org/10.1007/978-3-0348-8499-0 |
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