Stabilization of highly nonlinear stochastic coupled systems with Markovian switching under discrete-time state observations control

Abstract

This paper investigates the stabilization of highly nonlinear stochastic coupled systems (HNSCSs) with Markovian switching under discrete-time state observations control. Different from most existing literature, the condition in which the diffusion coefficient and drift coefficient fulfill the linear growth condition is removed. In other words, the coupled systems considered are highly nonlinear. Combining the graph theory and Lyapunov method, we establish the stability criteria for HNSCSs with Markovian switching. Meanwhile, the upper bounded for duration between two successive state observations is proposed. Furthermore, the theoretical results are applied to study the stability of nonlinear electric RLC circuits. Lastly, a numerical example with simulations is provided to show the viability of obtained results.