Stabilization of hybrid systems by intermittent feedback controls based on discrete-time observations with a time delay

This paper mainly investigates stabilization of hybrid stochastic differential equations (SDEs) via periodically intermittent feedback controls based on discrete-time state observations with a time delay. First, by using the theory of M-matrix and intermittent control strategy, we establish sufficient conditions for the stability of hybrid SDEs. Then, we prove the intermittent stabilization for a given unstable nonlinear hybrid SDE by comparison theorem. Two numerical examples are discussed to support our results of theoretical analysis.

Automated summary

This paper investigates stabilization of hybrid stochastic differential equations (SDEs) using periodically intermittent feedback controls and discrete-time state observations with a time delay. By applying M-matrix theory and intermittent control strategy, the sufficient conditions for stability of hybrid SDEs are established, and the intermittent stabilization of an unstable nonlinear hybrid SDE is proven through comparison theorem. Two numerical examples are discussed to support the theoretical analysis results.