Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 17, Issue 10, Pages 3876-3893Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2012.02.011
Keywords
T-S fuzzy model; Markovian jumping parameters; Linear matrix inequalities; Neutral system; Interval time-varying delays
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Funding
- NBHM - DAE, Mumbai [2/48(8)/2010/RD - II/11191]
- National Board for Higher Mathematics - Department of Atomic Energy, Mumbai, India [2/48(8)/2010/RD - II]
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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 (R) control toolbox. Finally, some numerical examples are given to show the effectiveness of the obtained results. (C) 2012 Elsevier B.V. All rights reserved.
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