Stabilization of Highly Nonlinear Time-Varying Coupled Systems With Regime Switching via Intermittent Discrete-Time Observation Control
Wenhua Wang, Mingrui Leng, Xiaoling Zou, Wenxue Li · IEEE Transactions on Control of Network Systems · 2024
In this article, we solve the problem of the practical stabilization of highly nonlinear time-varying coupled systems with regime switching (HTCSR) via periodically intermittent discrete-time observation control (PIDTOC). It is noteworthy that the coefficients in HTCSR satisfy the polynomial growth condition, which makes the model more practical. Meanwhile, PIDTOC is applied to achieve the practical stabilization of the system for the first time. By integrating the Lyapunov method and the graph theory, we have derived the moment boundedness of the global solution for HTCSR and sufficient conditions that ensure the practical stabilization of HTCSR. Finally, an application of the improved FitzHugh–Nagumo model and the corresponding numerical simulations are given to demonstrate the effectiveness of the theoretical results.