Finite‐Time Boundedness for a Class of Delayed Markovian Jumping Neural Networks with Partly Unknown Transition Probabilities

Li Liang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper is concerned with the problem of finite‐time boundedness for a class of delayed Markovian jumping neural networks with partly unknown transition probabilities. By introducing the appropriate stochastic Lyapunov‐Krasovskii functional and the concept of stochastically finite‐time stochastic boundedness for Markovian jumping neural networks, a new method is proposed to guarantee that the state trajectory remains in a bounded region of the state space over a prespecified finite‐time interval. Finally, numerical examples are given to illustrate the effectiveness and reduced conservativeness of the proposed results.

Date: 2014
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https://doi.org/10.1155/2014/597298

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:597298

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