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A new result on global exponential robust stability of neural networks with time-varying delays 被引量:4
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作者 Jinliang SHAO Tingzhu HUANG 《控制理论与应用(英文版)》 EI 2009年第3期315-320,共6页
In this paper, the global exponential robust stability of neural networks with ume-varying delays is investigated. By using nonnegative matrix theory and the Halanay inequality, a new sufficient condition for global e... In this paper, the global exponential robust stability of neural networks with ume-varying delays is investigated. By using nonnegative matrix theory and the Halanay inequality, a new sufficient condition for global exponential robust stability is presented. It is shown that the obtained result is different from or improves some existing ones reported in the literatures. Finally, some numerical examples and a simulation are given to show the effectiveness of the obtained result. 展开更多
关键词 Neural networks Time-varying delays global exponential robust stability
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ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS 被引量:3
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作者 刘斌 刘新芝 廖晓昕 《Acta Mathematica Scientia》 SCIE CSCD 2005年第1期161-169,共9页
By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequ... By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory. 展开更多
关键词 Uncertain impulsive system interval matrix Riccati/Hamilton-Jacobi inequality global exponential stability robust global exponential stability
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Relaxed delay-dependent exponential stability condition for a class of neural networks with polytopic uncertainties and distributed delays
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作者 Jianwei XIA 1,2,Hongbin ZHANG 3 1.School of Automation,Southeast University,Nanjing Jiangsu 210096,China 2.School of Mathematics Science,Liaocheng University,Liaocheng Shandong 252000,China 3.School of Electronic Engineering,University of Electronic Science and Technology,Chengdu Sichuan 610054,China 《控制理论与应用(英文版)》 EI 2011年第2期302-306,共5页
The global robust exponential stability of a class of neural networks with polytopic uncertainties and distributed delays is investigated in this paper.Parameter-dependent Lypaunov-Krasovskii functionals and free-weig... The global robust exponential stability of a class of neural networks with polytopic uncertainties and distributed delays is investigated in this paper.Parameter-dependent Lypaunov-Krasovskii functionals and free-weighting matrices are employed to obtain sufficient condition that guarantee the robust global exponential stability of the equilibrium point of the considered neural networks.The derived sufficient condition is proposed in terms of a set of relaxed linear matrix inequalities (LMIs),which can be checked easily by recently developed algorithms solving LMIs.A numerical example is given to demonstrate the effectiveness of the proposed criteria. 展开更多
关键词 Neural networks Polytopic uncertainties Distributed delays DELAY-DEPENDENT global robust exponential stability
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