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 squ
Robust exponential stability of Markovian jumping neural networks with mode-dependent delay
β Scribed by Wei Han; Yan Liu; Linshan Wang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 200 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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β¦ Synopsis
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.
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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 timeβvarying in intervals and depend on system mode. By exploiting a new LyapunovβKrasovskii functional, which takes into account the range