Aperiodically Intermittent Control of Switched Stochastic Nonlinear Systems Based on Discrete-Time Observation

The brief focuses on stabilizing aperiodically intermittent control (AIC) for switched stochastic nonlinear systems (SSNSs) based on discrete-time observation. The relationship between switched and discrete-time observation points under controller rest and activation intervals is analyzed. Three states are considered for running the controlled system, namely synchronous control, asynchronous control, and open-loop operation. Sufficient conditions are provided for the stabilization of SSNSs, allowing the Lyapunov function to increase within the asynchronous control interval. In addition, the method can be extended to SSNSs based on discrete-time observations without AIC. Finally, a tunnel diode circuit model (TDCM) with noise effects is provided to illustrate the validity of theoretical conclusions.