Stabilization of hybrid stochastic neutral-type systems with non-differentiable delays under high nonlinearity via discrete-time feedback control

Abstract

In this paper, we discuss a kind of unstable hybrid neutral stochastic systems with non-differentiable delays, whose coefficients satisfy polynomial growth conditions. The key purpose of this paper is to develop a controller based on discrete-time observations for both modes and states to achieve stability of the controlled system. We establish some new stability criteria for hybrid neutral-type stochastic systems with non-differentiable delay under high nonlinearity. The sufficient stability criteria of asymptotic stability, exponential stability and $H_{\infty }$ stability are established. Finally, an example is given to verify our theoretical results.