Time-Varying Discrete Linear Systems

Input-Output Operators. Riccati Equations. Disturbance Attenuation
1994
ISBN: 978-3-7643-5012-3
Verlag: Springer

Buch, Englisch, Band 68, 230 Seiten, HC runder Rücken kaschiert, Format (B × H): 175 mm x 248 mm, Gewicht: 604 g

Reihe: Operator Theory: Advances and Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Ionescu, Vlad

Halanay, Aristide

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

0. General motivation.- 1. Evolutions and related basic notions.- 2. Nodes.- 3. Riccati equations and nodes.- 4. Disturbance Attenuation.- Appendix A. Discrete-time stochastic control.- 1. Discrete-time Riccati equation of stochastic control.- 2. Optimal compensator under independent random disturbances.- Notes and References.- Appendix B. Almost periodic discrete-time systems.- 1. Standeard theory of almost periodic sequences.- 2. A new Bochner theory for almost periodic sequences.- 3. Almost periodic evolution.- 4. Evolutions under Besicovitch sequences.- Notes and References.- References.