Quasi-synchronization of stochastic delayed multi-agent systems via gain-waving irregular intermittent control with its application in circuits

Abstract

This paper focuses on the quasi-synchronization (Q-S) of stochastic heterogeneous delayed multi-agent systems (SHDMSs), in which a novel irregularly intermittent tactic with unbounded waving feedback gains (IIT-UWG) is imposed on the systems. By the IIT-UWG, the discontinuous control signals received outside hampers can be settled. And the presumable sabotage of actuators caused by the dramatic switching from a negative constant to zero of feedback gain will be averted. The properties of volatility and unboundedness for feedback gain expand the application range compared to previous strategy, while the present solution method is difficult to settle out these added properties, leading to challenges in the research of Q-S. For analyze the Q-S conducively, then we strike up a Halanay-mode inequality with inferior conservatism firstly. We represent a criterion of Q-S in virtue of Lyapunov method, the Halanay-mode inequality, and corresponding complete synchronization is developed. The design scheme of control gain in typical control problems is revealed. The paper concludes with an application and the parallel numerical examples in Chua's circuit.