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Linear Systems and Optimal Control - Hardcover

 
9783540187370: Linear Systems and Optimal Control

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A knowledge of linear systems provides a firm foundation for the study of optimal control theory and many areas of system theory and signal processing. State-space techniques developed since the early sixties have been proved to be very effective. The main objective of this book is to present a brief and somewhat complete investigation on the theory of linear systems, with emphasis on these techniques, in both continuous-time and discrete-time settings, and to demonstrate an application to the study of elementary (linear and nonlinear) optimal control theory. An essential feature of the state-space approach is that both time-varying and time-invariant systems are treated systematically. When time-varying systems are considered, another important subject that depends very much on the state-space formulation is perhaps real-time filtering, prediction, and smoothing via the Kalman filter. This subject is treated in our monograph entitled "Kalman Filtering with Real-Time Applications" published in this Springer Series in Information Sciences (Volume 17). For time-invariant systems, the recent frequency domain approaches using the techniques of Adamjan, Arov, and Krein (also known as AAK), balanced realization, and oo H theory via Nevanlinna-Pick interpolation seem very promising, and this will be studied in our forthcoming monograph entitled "Mathematical Ap­ proach to Signal Processing and System Theory". The present elementary treatise on linear system theory should provide enough engineering and mathe­ of these two subjects.

Reseña del editor

This book offers a self-contained, elementary and yet rigorous treatment of linear system theory and optimal control theory. Fundamental topics within this area are considered, first in the continuous-time and then in the discrete-time setting. Both time-varying and time-invariant cases are investigated. The approach is quite standard but a number of new results are also included, as are some brief applications. It provides a firm basis for further study and should be useful to all those interested in the rapidly developing subjects of systems engineering, optimal control theory and signal processing.

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9783642647871: Linear Systems and Optimal Control: 18 (Springer Series in Information Sciences)

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ISBN 10:  3642647871 ISBN 13:  9783642647871
Verlag: Springer, 2014
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Chui, Charles K.; Chen, Guanrong
ISBN 10: 3540187375 ISBN 13: 9783540187370
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gebundene Ausgabe. Zustand: Sehr gut. Zust: Gutes Exemplar. Springer Series in Information Sciences, Band 18 With 4 Figures, VIII, 155 S. Englisch 348g. Artikel-Nr. 489971

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