脉冲扰动下非线性时滞系统的多重广义稳定性。

IF 3.1 3区工程技术 Q2 NEUROSCIENCES

Cognitive Neurodynamics Pub Date : 2025-12-01 Epub Date: 2025-04-19 DOI:10.1007/s11571-025-10241-1

Fanghai Zhang, Changlin Zhan

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引用次数: 0

摘要

研究了具有脉冲扰动和分布时滞的非线性系统的多重广义稳定性问题。利用状态空间划分法，用整数K i≥0的∏i = 1 n （2 K i + 1）给出n维系统的多个平衡点的个数，并推导出∏i = 1 n （K i + 1）平衡点广义稳定的充分条件。最后，通过一个算例的仿真验证了理论结果。

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

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 n-dimensional system is given by $\prod_{i = 1}^{n} (2 K_{i} + 1)$ with integer $K_{i} \geq 0$ , and the sufficient conditions for generalized stability of $\prod_{i = 1}^{n} (K_{i} + 1)$ equilibrium points are derived. Finally, the theoretical results are illustrated by using the simulations of an example.

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来源期刊

Cognitive Neurodynamics 医学-神经科学

CiteScore

6.90

自引率

18.90%

发文量

140

审稿时长

12 months

期刊介绍： Cognitive Neurodynamics provides a unique forum of communication and cooperation for scientists and engineers working in the field of cognitive neurodynamics, intelligent science and applications, bridging the gap between theory and application, without any preference for pure theoretical, experimental or computational models. The emphasis is to publish original models of cognitive neurodynamics, novel computational theories and experimental results. In particular, intelligent science inspired by cognitive neuroscience and neurodynamics is also very welcome. The scope of Cognitive Neurodynamics covers cognitive neuroscience, neural computation based on dynamics, computer science, intelligent science as well as their interdisciplinary applications in the natural and engineering sciences. Papers that are appropriate for non-specialist readers are encouraged. 1. There is no page limit for manuscripts submitted to Cognitive Neurodynamics. Research papers should clearly represent an important advance of especially broad interest to researchers and technologists in neuroscience, biophysics, BCI, neural computer and intelligent robotics. 2. Cognitive Neurodynamics also welcomes brief communications: short papers reporting results that are of genuinely broad interest but that for one reason and another do not make a sufficiently complete story to justify a full article publication. Brief Communications should consist of approximately four manuscript pages. 3. Cognitive Neurodynamics publishes review articles in which a specific field is reviewed through an exhaustive literature survey. There are no restrictions on the number of pages. Review articles are usually invited, but submitted reviews will also be considered.