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Analysis and design of singular Markovian jump systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Analysis and design of singular Markovian jump systems/ by Guoliang Wang, Qingling Zhang, Xinggang Yan.
Author:	Wang, Guoliang.
other author:	Zhang, Qingling.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	ix, 284 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Jump processes. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-08723-8
ISBN:	9783319087238 (electronic bk.)

Analysis and design of singular Markovian jump systems
Wang, Guoliang.

Analysis and design of singular Markovian jump systems[electronic resource] /by Guoliang Wang, Qingling Zhang, Xinggang Yan. - Cham :Springer International Publishing :2015. - ix, 284 p. :ill. (some col.), digital ;24 cm.

Introduction -- Stability -- Stabilization -- H-infinity Control -- Observer-based Feedback Stabilization -- Filtering -- Adaptive Control -- Applications of a Markov Process.

This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H∞ control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat's Lemma, among other techniques. Features of the book include: study of the stability problem for SMJSs with general transition rate matrices (TRMs); stabilization for SMJSs by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints; mode-dependent and mode-independent H-infinity control solutions with development of a type of disordered controller; observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent; consideration of robust H-infinity filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corresponding closed-loop system states applications of Markov process on singular systems with norm bounded uncertainties and time-varying delays. Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course.

ISBN: 9783319087238 (electronic bk.)

Standard No.: 10.1007/978-3-319-08723-8doiSubjects--Topical Terms:

557654
Jump processes.

LC Class. No.: QA274.755

Dewey Class. No.: 519.233

Analysis and design of singular Markovian jump systems
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520 $a This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H∞ control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat's Lemma, among other techniques. Features of the book include: study of the stability problem for SMJSs with general transition rate matrices (TRMs); stabilization for SMJSs by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints; mode-dependent and mode-independent H-infinity control solutions with development of a type of disordered controller; observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent; consideration of robust H-infinity filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corresponding closed-loop system states applications of Markov process on singular systems with norm bounded uncertainties and time-varying delays. Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course.
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