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受脉冲干扰的非线性时滞系统的多重广义稳定性

Multiple generalized stability of nonlinear delayed systems subject to impulsive disturbance.

作者信息

Zhang Fanghai, Zhan Changlin

机构信息

School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, 230009, Anhui China.

出版信息

Cogn Neurodyn. 2025 Dec;19(1):64. doi: 10.1007/s11571-025-10241-1. Epub 2025 Apr 19.

Abstract

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.

摘要

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。

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本文引用的文献

1
Multistability of Almost Periodic Solutions for Fuzzy Competitive NNs With Time-Varying Delays.
IEEE Trans Neural Netw Learn Syst. 2025 Jul;36(7):11835-11846. doi: 10.1109/TNNLS.2024.3474249.
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IEEE Trans Neural Netw Learn Syst. 2021 Jan;32(1):177-187. doi: 10.1109/TNNLS.2020.2977994. Epub 2021 Jan 4.
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Impulsive Control of Nonlinear Systems With Time-Varying Delay and Applications.
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