✦ LIBER ✦

Stability of stochastic Markovian jump neural networks with mode-dependent delays

✍ Scribed by Qian Ma; Shengyuan Xu; Yun Zou; Jinjun Lu

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 247 KB
Volume: 74
Category: Article
ISSN: 0925-2312
DOI: 10.1016/j.neucom.2011.01.016

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✦ Synopsis

In this paper, the problem of stability analysis for a general class of uncertain stochastic neural networks with Markovian jumping parameters and mixed mode-dependent delays is considered. By the use of a new Markovian switching Lyapunov-Krasovskii functional, delay-dependent conditions on mean square asymptotic stability are derived in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the proposed approach.

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## Abstract This paper discusses the robust stabilization problem for a class of Markovian jump systems with nonlinear disturbances and time delays, which are time‐varying in intervals and depend on system mode. By exploiting a new Lyapunov–Krasovskii functional, which takes into account the range