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Han, Wei; Liu, Yan; Wang, Linshan

Robust exponential stability of Markovian jumping neural networks with mode-dependent delay. (English) Zbl 1222.93231

Commun. Nonlinear Sci. Numer. Simul. 15, No. 9, 2529-2535 (2010).
Summary: This paper deals with the robust exponential stability problem for a class of Markovian jumping neural networks with time delay. The delay considered varies randomly, depending on the mode of the networks. By using a new Lyapunov–Krasovskii functional, a delay-dependent stability criterion is presented, which can be expressed in terms of linear matrix inequalities (LMIs). A numerical example is given to show the effectiveness of the results.

Cited in 17 Documents

MSC:

93E15 Stochastic stability in control theory
34F05 Ordinary differential equations and systems with randomness
34K20 Stability theory of functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics

Keywords:

Markovian jumping neural networks; robust exponential stability; mode-dependent delay; linear matrix inequality
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\textit{W. Han} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 9, 2529--2535 (2010; Zbl 1222.93231)
Full Text: DOI

References:

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