Power-Rate Global Stability of Dynamical Systems With Unbounded Time-Varying Delays

Tianping Chen; Lili Wang

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Power-Rate Global Stability of Dynamical Systems With Unbounded Time-Varying Delays

机译：具有无界时变时滞的动力系统的功率全局稳定性

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In this brief, dynamical systems with unbounded time-varying delays are investigated. Two approaches are developed to derive sufficient conditions ensuring the existence, uniqueness of the equilibrium and its global stability. Moreover, different from globally asymptotical stability and globally exponential stability, a new concept of stability, global power stability, is proposed. Under mild conditions, we prove that the dynamical systems with unbounded time-varying delays are globally power stable.

机译：在本文中，对具有无限时变延迟的动力学系统进行了研究。开发了两种方法来导出足够的条件，以确保均衡的存在，唯一性及其全局稳定性。此外，不同于全局渐近稳定性和全局指数稳定性，提出了新的稳定性概念，即全局功率稳定性。在温和的条件下，我们证明了具有无限时变延迟的动力学系统具有全局功率稳定性。

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《IEEE transactions on circuits and systems. II, Express briefs》 |2007年第8期|p.705-709|共5页
作者
Tianping Chen; Lili Wang;
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正文语种 eng
中图分类通信;
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asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; artificial neural network; dynamical systems; globally asymptotical stability; globally exponential stability; linear matrix inequality; power-rate global stability; unboun;

机译：渐近稳定性时滞线性矩阵不等式神经网络时变系统人工神经网络动力系统全局渐近稳定性全局指数稳定性线性矩阵不等式功率率全局稳定性unboun;

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专利

1. Power-Rate Global Stability of Dynamical Systems With Unbounded Time-Varying Delays [J] . Chen T., Wang L. IEEE Transactions on Circuits and Systems. II, Analog and Digital Signal Processing . 2007,第8期

机译：具有无穷时变时滞的动力系统的功率全局稳定性
2. Power-Rate Global Stability of Dynamical Systems With Unbounded Time-Varying Delays [J] . Chen T., Wang L. IEEE Transactions on Circuits and Systems. II, Analog and Digital Signal Processing . 2007,第8期

机译：具有无界时变时滞的动力系统的功率全局稳定性
3. Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays [J] . Zhigang Zeng, Jun Wang, Xiaoxin Liao IEEE transactions on circuits and systems. II, Express briefs . 2005,第3期

机译：无界时变时滞神经网络的全局渐近稳定性和全局指数稳定性
4. Global asymptotic stability of fuzzy cellular neural networks with unbounded time-varying delays [C] . Zhu Chongjun, Bao Gang 2011 International Conference on Information Science and Technology . 2011

机译：无限时滞时滞模糊细胞神经网络的全局渐近稳定性
5. Exponential Stability of Intrinsically Stable Dynamical Networks and Switched Networks with Time-Varying Time Delays [D] . Reber, David Patrick. 2019

机译：具有时变时间延迟的内在稳定动态网络和交换网络的指数稳定性
6. Power-rate synchronization of coupled genetic oscillators with unbounded time-varying delay [O] . Abdulaziz Alofi, Fengli Ren, Abdullah Al-Mazrooei, 2015

机译：具有无限时变延迟的耦合遗传振荡器的功率速率同步
7. $\mu$-Stability of Nonlinear Positive Systems With Unbounded Time-Varying Delays [O] . Liu, xiwei, Chen, Tianping 2015

机译：无界的非线性正系统的稳定性时间变化的延迟

Power-Rate Global Stability of Dynamical Systems With Unbounded Time-Varying Delays

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