Cover image for Discrete-time Markov jump linear systems
Title:
Discrete-time Markov jump linear systems
Publication Information:
London : Springer, 2005
ISBN:
9781852337612

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30000004598409 QA402.37 C67 2005 Open Access Book Book
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Summary

Summary

Safety critical and high-integrity systems, such as industrial plants and economic systems can be subject to abrupt changes - for instance due to component or interconnection failure, and sudden environment changes etc.

Combining probability and operator theory, Discrete-Time Markov Jump Linear Systems provides a unified and rigorous treatment of recent results for the control theory of discrete jump linear systems, which are used in these areas of application.

The book is designed for experts in linear systems with Markov jump parameters, but is also of interest for specialists in stochastic control since it presents stochastic control problems for which an explicit solution is possible - making the book suitable for course use.

From the reviews:

"This text is very well written...it may prove valuable to those who work in the area, are at home with its mathematics, and are interested in stability of linear systems, optimal control, and filtering." Journal of the American Statistical Association, December 2005


Table of Contents

Preface
Markovian Jump Linear Systems
Background Material
On Stability
Optimal Control
Linear Filtering
Quadratic Optimal Control with Partial Information
H2- Control
Design Techniques and Examples
Appendix A Coupled Algebraic Riccati Equations
Appendix B Auxiliary Results for the Linear Filtering Problem with (k) Unknown
Appendix C Auxiliary Results for the H2 Control Problem
Notation and Corrections
References