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Robust stability criteria for uncertain neutral type stochastic system with Takagi-Sugeno fuzzy model and Markovian jumping parameters
S. Muralisankar, , P. Balasubramaniam
Published in
2012
Volume: 17
   
Issue: 10
Pages: 3876 - 3893
Abstract
In this paper, the robust stability for uncertain neutral stochastic system with Takagi-Sugeno (T-S) fuzzy model and Markovian jumping parameters (MJPs) are investigated. The jumping parameters considered here are generated from a continuous-time discrete-state homogeneous Markov process, which are governed by a Markov process with discrete and finite-state space. Some novel sufficient conditions are derived to guarantee the asymptotic stability of the equilibrium point in the mean square. By utilizing the Lyapunov-Krasovskii functional, stochastic analysis theory, some free weighting matrices and linear matrix inequality (LMI) technique, the upper bound of time-varying delay is obtained by using Matlab® control toolbox. Finally, some numerical examples are given to show the effectiveness of the obtained results. © 2012 Elsevier B.V.
About the journal
JournalCommunications in Nonlinear Science and Numerical Simulation
ISSN10075704