Dynamics analysis of a class of planar systems with time-varying delays

Huang CX; Huang LH; Yi TS

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Dynamics analysis of a class of planar systems with time-varying delays

机译：一类具有时变时滞的平面系统的动力学分析

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This paper formulates and studies a model of planar systems. The model can well describe many practical architectures of delayed neural networks, which is generalization of some existing neural networks under a time-varying environment. Without assuming the smoothness, monotonicity and boundedness of the activation functions, the existence and global exponential stability of its periodic solutions are investigated. Some explicit and conclusive results are established. Our approach is based on the continuation theorem of the coincidence degree, a priori estimates, and differential inequalities. (c) 2005 Elsevier Ltd. All rights reserved.

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《Nonlinear analysis. Real world applications》 |2006年第5期|共10页
作者
Huang CX; Huang LH; Yi TS;
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正文语种 eng
中图分类数学分析;
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differential system; neural network; periodic solutions; exponential stability; DEPENDENT PATTERN-FORMATION; PERIODIC-SOLUTIONS; NEURAL NETWORKS; ISOLATED NEURONS; STABILITY; EXISTENCE; ENVIRONMENTS; EQUATION; MEMORY;

机译：微分系统;神经网络;周期解;指数稳定性;相关图案形成;周期解;神经网络;隔离的神经元;稳定性;存在性;环境;方程;存储器;

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专利

1. Dynamics analysis of a class of planar systems with time-varying delays [J] . Huang CX, Huang LH, Yi TS Nonlinear analysis. Real world applications . 2006,第5期

机译：一类具有时变时滞的平面系统的动力学分析
2. Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystems [J] . Wei Zheng, Hongbin Wang, Hongrui Wang, Advances in Difference Equations . 2018,第1期

机译：具有虚拟时滞和多个子系统的平面切换非线性系统的基于虚拟反馈控制律的动态输出反馈控制
3. Improved delay-dependent robust stability criteria for a class of uncertain mixed neutral and Lur'e dynamical systems with interval time-varying delays and sector-bounded nonlinearity [J] . Wang Y., Zhang X., He Y. Nonlinear analysis. Real world applications . 2012,第5期

机译：一类不确定的中立和Lur'e混合动力系统的改进的依赖于时滞的鲁棒稳定性准则，该系统具有区间时变时滞和界界非线性
4. Refined delay-dependent robust stability criteria of a class of uncertain mixed neutral and Lur'e dynamical systems with interval time-varying delays and sector-bounded nonlinearity [C] . Wang Yantao, He Yang, Zhang Xian 2011 Chinese Control and Decision Conference . 2011

机译：一类不确定的不确定中立和Lur'e混合动力系统的时滞相关鲁棒稳定性准则，其具有时变间隔和扇区界非线性
5. Stability analysis of two classes of dynamical systems: General hybrid systems and neural networks with delays [D] . Ye, Hui 1996

机译：两类动力系统的稳定性分析：通用混合动力系统和带时滞的神经网络
6. New Stabilization for Dynamical System with Two Additive Time-Varying Delays [O] . Lianglin Xiong, Fan Yang, Xiaozhou Chen -1

机译：具有两个相加时变时滞的动力系统的新镇定
7. Correction to: Stability analysis for a class of fractional-order nonlinear systems with time-varying delays [O] . Pourya Rahmanipour, Hamid Ghadiri 2020

机译：校正：具有时变延迟的一类小数非线性系统的稳定性分析

Dynamics analysis of a class of planar systems with time-varying delays

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