Variable-delay feedback control for stabilisation of highly nonlinear hybrid stochastic neural networks with time-varying delays

ABSTRACT

A new highly nonlinear hybrid stochastic neural network with variable time delays is formulated, which is usually found to be unstable. In addition, the network coefficients considered in this article grow polynomially rather than linearly as we always considered before. Since original system is unstable, the purpose of this article is to construct a variable-delay feedback control function to make the augmented system stable. Then, four results on the stabilisation of the controlled system are given separately. At last, an example is provided to display the feasibility of theoretical results.

KEYWORDS:

• Stochastic neural network
• variable time delays
• highly nonlinear
• variable-delay feedback control
• stabilisation
• Markov chain

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the Natural Science Foundation of China under Grant 61976084 and the Natural Science Foundation of Hubei Province of China under Grant 2021CFA080.