Time-varying discrete linear systems input-output operators, Riccati equations, disturbance attenuation / Aristide Halanay, Vlad Ionescu.
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Basel :
Springer,
©1994.
Basel Birkhäuser Basel Imprint: Birkhäuser, 1994. |
| Series: | Operator theory, advances and applications ;
v. 68. |
| Subjects: |
| Summary: | 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. |
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| Item Description: | Softcover reprint of the hardcover 1st edition originally published by Birkhauser in 1994. |
| Physical Description: | 1 online resource (x, 230 pages) |
| Bibliography: | Includes bibliographical references (pages 221-224) and index. |
| ISBN: | 9783034884990 3034884990 |
| Language: | English. |