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Exponential Stability of Neural Networks with Markovian Switching Parameters and General Noise

Xin Zhang, Wuneng Zhou*, and Yuqing Sun
International Journal of Control, Automation, and Systems, vol. 17, no. 4, pp.966-975, 2019

Abstract : "This paper investigates the problem of exponential stability of Neural Networks (NNs) with Markovian parameters and general noise. The model in this paper with general noise is more suitable for many real nervous systems than NNs with white noise. Criteria for the exponential stability of the NNs with Markovian switching parameters and general noise in both the mean square and p-th moment are derived by utilizing the random analysis method and Lyapunov functional method techniques. The exponential stability of NNs without Markovian switching is given as a special case. Finally, simulation result in two examples are discussed to illustrate the theoretical results."

Keyword : Exponential stability, general noise, Lyapunov functional, neural networks, Markovian switching.

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