Control of Singular Systems with Random Abrupt Changes

This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. Many problems like stochastic stability, stochastic stabilization using state feedback control and static output control, Hinfinit

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Series Editors E.D. Sontag · M. Thoma · A. Isidori · J.H. van Schuppen

Published titles include: Stability and Stabilization of Infinite Dimensional Systems with Applications Zheng-Hua Luo, Bao-Zhu Guo and Omer Morgul Nonsmooth Mechanics (Second edition) Bernard Brogliato Nonlinear Control Systems II Alberto Isidori L2 -Gain and Passivity Techniques in Nonlinear Control Arjan van der Schaft Control of Linear Systems with Regulation and Input Constraints Ali Saberi, Anton A. Stoorvogel and Peddapullaiah Sannuti Robust and H∞ Control Ben M. Chen Computer Controlled Systems Efim N. Rosenwasser and Bernhard P. Lampe

Robust Control (Second edition) Jürgen Ackermann Flow Control by Feedback Ole Morten Aamo and Miroslav Krsti´c Learning and Generalization (Second edition) Mathukumalli Vidyasagar Constrained Control and Estimation Graham C. Goodwin, María M. Seron and José A. De Doná Randomized Algorithms for Analysis and Control of Uncertain Systems Roberto Tempo, Giuseppe Calafiore and Fabrizio Dabbene Switched Linear Systems Zhendong Sun and Shuzhi S. Ge Subspace Methods for System Identification Tohru Katayama Digital Control Systems Ioan D. Landau and Gianluca Zito

Control of Complex and Uncertain Systems Stanislav V. Emelyanov and Sergey K. Korovin

Multivariable Computer-controlled Systems Efim N. Rosenwasser and Bernhard P. Lampe

Robust Control Design Using H∞ Methods Ian R. Petersen, Valery A. Ugrinovski and Andrey V. Savkin

Dissipative Systems Analysis and Control (Second edition) Bernard Brogliato, Rogelio Lozano, Bernhard Maschke and Olav Egeland

Model Reduction for Control System Design Goro Obinata and Brian D.O. Anderson Control Theory for Linear Systems Harry L. Trentelman, Anton Stoorvogel and Malo Hautus Functional Adaptive Control Simon G. Fabri and Visakan Kadirkamanathan Positive 1D and 2D Systems Tadeusz Kaczorek Identification and Control Using Volterra Models Francis J. Doyle III, Ronald K. Pearson and Bobatunde A. Ogunnaike Non-linear Control for Underactuated Mechanical Systems Isabelle Fantoni and Rogelio Lozano

Algebraic Methods for Nonlinear Control Systems (Second edition) Giuseppe Conte, Claude H. Moog and Anna Maria Perdon Polynomial and Rational Matrices Tadeusz Kaczorek Simulation-based Algorithms for Markov Decision Processes Hyeong Soo Chang, Michael C. Fu, Jiaqiao Hu and Steven I. Marcus Iterative Learning Control Hyo-Sung Ahn, Kevin L. Moore and YangQuan Chen Distributed Consensus in Multi-vehicle Cooperative Control Wei Ren and Randal W. Beard

El-K´ebir Boukas

Control of Singular Systems with Random Abrupt Changes

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Prof. E.K. Boukas Mechanical Engineering Department ´cole Polytechnique de Montr´eal E Succirsale Centre-Ville H3C 3A7 Montreal, Quebec Canada email: [email protected]

ISBN: 978-3-540-74344-6

e-ISBN: 978-3-540-74345-3

DOI 10.1007/978-3-540-74345-3 Communications and Control Engineering Series ISSN: 0178-5354 Library of Congress Control Number: 2007934281 © 2008 Springer-Verlag Berlin Heidelberg This work is subject to copyright. All rights are reserve