Document Type : Research Paper
Authors
Department of Mathematics, Gandhigram Rural Institute - Deemed University, Gandhigram - 624 302, Tamilnadu, India
Abstract
This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the lower and upper delay bounds. Finally, numerical examples are provided to substantiate the theoretical results.
Keywords
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discrete stochastic singular systems with time-varying delay, Int. J. Syst. Sci., 44(3) (2013),
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jump systems with time-varying delay and partially unknown transition probabilities, Signal
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Control Lett., 8(4) (1987), 351-357.
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and control, IEEE Trans. Syst. Man Cybern., 15(1) (1985), 116-132.
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following control, IEEE Trans. Fuzzy Syst., 8(4) (2000), 265-452.
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with time-varying delay, Int. J. Control Autom. Syst., 2(1) (2004), 76-82.
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singular systems with mixed time-varying delays, Appl. Math. Comput., 218(13) (2012),
7128-7138.
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in nite-distributed delay, IEEE Trans. Fuzzy Syst., 20(1) (2012), 22-31.
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time-delay systems, Acta Automat. Sinica, 36(4) (2010), 558-563.
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jumping systems with interval time-varying delays, Int. J. Syst. Sci., 43(2) (2012), 272-284.
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