Parameter Control of Stochastic Neural Network System with Markov Switching

Abstract

The stochastic control of Markov switching systems with time-delay feedback neural networks under the interference of external environment is studied in this paper. By designing a memoryless state feedback controller, a set of sufficient conditions for the stochastic stability of the switching system and the disturbance attenuation are obtained by using the stochastic assessment method and the linear matrix inequality, and the key $H_{\infty }$ control of this problem is realized.