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Stochastic stability in terms of an associated transfer function matrix for some hybrid systems with Markovian switching
Author(s) -
IMZEGOUAN Chafai
Publication year - 2017
Publication title -
communications faculty of science university of ankara series a1mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 1303-5991
DOI - 10.1501/commua1_0000000842
Subject(s) - stability (learning theory) , state space , representation (politics) , control theory (sociology) , transfer function , work (physics) , markov process , state (computer science) , controller (irrigation) , mathematics , transfer matrix , matrix (chemical analysis) , transfer (computing) , dynamical systems theory , function (biology) , state space representation , computer science , control (management) , algorithm , physics , engineering , machine learning , political science , agronomy , computer vision , materials science , artificial intelligence , law , composite material , biology , quantum mechanics , parallel computing , thermodynamics , statistics , politics , electrical engineering , evolutionary biology
This work is devoted to stability for a dynamical system withMarkovian switched controller and a finite number of linear digerential subsystems. We suppose conditions on a state space representation ofan associated transfer function matrix which guarantees stochastic stability.The given examples are detailed to illustrate the main result

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