Finite‐Time Dual Asynchronous Switching Control for Networked Nonlinear Stochastic Systems Based on Bandwidth‐Aware Event‐Triggered Scheme

ABSTRACT This paper studies the finite‐time dual asynchronous switching control for the networked nonlinear stochastic systems based on the bandwidth‐aware event‐triggered scheme. To conserve network resources, a bandwidth‐aware event‐triggered scheme is constructed. This scheme not only can schedule data transmission control signals based on variable bandwidth states, but also can achieve an adaptive balance between maintaining the expected control performance and improving communication efficiency. Furthermore, considering the asynchronous phenomenon, a finite‐time asynchronous control framework with membership functions dependent on the performance index is established to enhance the system's interference suppression ability. Based on this, a multi‐information dependent Lyapunov‐Krasowskii functional method incorporating state information, mode information, and membership functions is constructed to analyze the system stability and reduce system conservatism. The sufficient stability conditions are derived by restricting the minimum jump time condition via the average dwell time method to ensure the closed‐loop system achieves stochastic stability, and the controller gain can be determined. Finally, two examples are offered to demonstrate the effectiveness of the control method.