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Field name	Details
Dewey Class	515
Title	Time-Varying Discrete Linear Systems ([EBook]) : Input-Output Operators. Riccati Equations. Disturbance Attenuation / by Aristide Halanay, Vlad Ionescu.
Author	Halanay, Aristide
Added Personal Name	Ionescu, Vlad , 1938-
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 1994.
Physical Details	X, 230 pages : online resource.
Series	Operator theory : advances and applications ; 68
ISBN	9783034884990
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8499-0
Links to Related Works	Subject References: Algebra . Analysis . Analysis (Mathematics) . Calculus of variations . Mathematical analysis . Mathematical optimization . Mathematics . Matrix theory . System theory . Authors: author . Halanay, Aristide . Ionescu, Vlad 1938- . Corporate Authors: SpringerLink (Online service) . Series: Operator theory : advances and applications . Classification: 515 .

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

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