Time-Varying Discrete Linear Systems: Input-Output Operators. Riccati Equations. Disturbance Attenuation

✍ Scribed by Aristide Halanay, Vlad Ionescu (auth.)

Publisher: Birkhäuser Basel
Year: 1994
Tongue: English
Leaves: 236
Series: Operator Theory Advances and Applications 68
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-x
General motivation....Pages 1-12
Evolutions and related basic notions....Pages 13-44
Nodes....Pages 45-70
Riccati equations and nodes....Pages 71-143
Disturbance Attenuation....Pages 145-185
Back Matter....Pages 187-230

✦ Subjects

Analysis; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Linear and Multilinear Algebras, Matrix Theory

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