Time-Varying Discrete Linear Systems: Input-Output Operators. Riccati Equations. Disturbance Attenuation (Operator Theory: Advances and Applications)

Halanay, Aristide; Ionescu, Vlad

ISBN 10: 3034896514 / ISBN 13: 9783034896511

Verlag: Birkhäuser, 2012

Beschreibung

Bestandsnummer des Verkäufers I-9783034896511

Bibliografische Details

Titel: Time-Varying Discrete Linear Systems: ...

Verlag: Birkhäuser

Erscheinungsdatum: 2012

Einband: Softcover

Zustand: New

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Inhaltsangabe:

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.