Regular Papers

International Journal of Control, Automation and Systems 2019; 17(4): 966-975

Published online March 13, 2019

https://doi.org/10.1007/s12555-018-0202-y

© The International Journal of Control, Automation, and Systems

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

Xin Zhang, Wuneng Zhou*, and Yuqing Sun

Donghua University

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."

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

Article

Regular Papers

International Journal of Control, Automation and Systems 2019; 17(4): 966-975

Published online April 1, 2019 https://doi.org/10.1007/s12555-018-0202-y

Copyright © The International Journal of Control, Automation, and Systems.

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

Xin Zhang, Wuneng Zhou*, and Yuqing Sun

Donghua University

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."

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

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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