Zhang Fanghai, Zhan Changlin
School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, 230009, Anhui China.
Cogn Neurodyn. 2025 Dec;19(1):64. doi: 10.1007/s11571-025-10241-1. Epub 2025 Apr 19.
The multiple generalized stability of nonlinear systems with impulsive disturbance and distributed delays is studied in this paper. By using the state space partition method, the number of multiple equilibrium points for -dimensional system is given by with integer , and the sufficient conditions for generalized stability of equilibrium points are derived. Finally, the theoretical results are illustrated by using the simulations of an example.
本文研究了具有脉冲干扰和分布时滞的非线性系统的多重广义稳定性。利用状态空间划分方法,给出了(n)维系统多重平衡点的个数(其中(n)为整数),并推导了平衡点广义稳定性的充分条件。最后,通过一个例子的仿真来说明理论结果。