Aristide Halanay's Books

Stabilization of Linear Systems

By: Vasile Dragan,Aristide Halanay

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Stabilization of Linear Systems

By: Vasile Dragan,Aristide Halanay

One of the main problems in control theory is the stabilization problem consisting of finding a feedback control law ensuring stability; when the linear approximation is considered, the nat ural problem is stabilization of a linear system by linear state feedback or by using a linear dynamic controller. This prob lem was intensively studied during the last decades and many important results have been obtained. The present monograph is based mainly on results obtained by the authors. It focuses on stabilization of systems with slow and fast motions, on stabilization procedures that use only poor information about the system (high-gain stabilization and adaptive stabilization), and also on discrete time implementa tion of the stabilizing procedures. These topics are important in many applications of stabilization theory. We hope that this monograph may illustrate the way in which mathematical theories do influence advanced technol ogy. This book is not intended to be a text book nor a guide for control-designers. In engineering practice, control-design is a very complex task in which stability is only one of the re quirements and many aspects and facets of the problem have to be taken into consideration. Even if we restrict ourselves to stabilization, the book does not provide just recipes, but it fo cuses more on the ideas lying behind the recipes. In short, this is not a book on control, but on some mathematics of control.

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Page Count

320

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461215706

ISBN 13

9781461215707

Time-Varying Discrete Linear Systems

Input-Output Operators. Riccati Equations. Disturbance Attenuation

By: Aristide Halanay,Vlad Ionescu

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Time-Varying Discrete Linear Systems

Input-Output Operators. Riccati Equations. Disturbance Attenuation

By: 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 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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Page Count

237

Publisher

Birkhäuser

Published Date

ISBN 10

3034884990

ISBN 13

9783034884990

Stability and Stable Oscillations in Discrete Time Systems

By: Aristide Halanay,Vladimir Rasvan

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Stability and Stable Oscillations in Discrete Time Systems

By: Aristide Halanay,Vladimir Rasvan

The expertise of a professional mathmatician and a theoretical engineer provides a fresh perspective of stability and stable oscillations. The current state of affairs in stability theory, absolute stability of control systems, and stable oscillations of both periodic and almost periodic discrete systems is presented, including many applications in engineering such as stability of digital filters, digitally controlled thermal processes, neurodynamics, and chemical kinetics. This book will be an invaluable reference source for those whose work is in the area of discrete dynamical systems, difference equations, and control theory or applied areas that use discrete time models.

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Page Count

310

Publisher

CRC Press

Published Date

ISBN 10

9056996711

ISBN 13

9789056996710

Stability and Stable Oscillations in Discrete Time Systems

By: Aristide Halanay,Vladimir Rasvan

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Stability and Stable Oscillations in Discrete Time Systems

By: Aristide Halanay,Vladimir Rasvan

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Page Count

297

Publisher

CRC Press

Published Date

ISBN 10

148228328X

ISBN 13

9781482283280

Book's by Aristide Halanay

Stabilization of Linear Systems

Stabilization of Linear Systems

Time-Varying Discrete Linear Systems

Time-Varying Discrete Linear Systems

Stability and Stable Oscillations in Discrete Time Systems

Stability and Stable Oscillations in Discrete Time Systems

Stability and Stable Oscillations in Discrete Time Systems

Stability and Stable Oscillations in Discrete Time Systems

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