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采用了一类新型积分等式,研究了具有非线性扰动的线性多时变时滞系统的时滞相关鲁棒稳定性问题,并推广得到一般的时滞相关-时滞变化率无关的鲁棒稳定性条件.数值实例表明,稳定性条件的保守性也有所减少. 相似文献
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The stability of singular uncertain differential systems with multiple time-varying delays is discussed, and many results on this are obtained. 相似文献
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THE V-FUNCTIONAL METHOD FOR THE STABILITY OF DEGENERATE DIFFERENTIAL SYSTEMS WITH DELAYS 总被引:3,自引:0,他引:3
1 IntroductionStability is an important perfermance index of concrete systems such asmanagement systems, power systems, engineering systems and so on. Forthe stability V--functional criterion method of functional differential systems,have had many results in recent years, see) for example, [1] and [2]. Andfor degenerate systems, papers [41-[81 have carefully discussed and given someimportant results. But we note that (see [9]) many concrete systems, besidescontain delay, are degenerate. So, f… 相似文献
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研究了一类具有时变区间参数的不确定随机线性系统的均方鲁棒稳定性.利用时变区间矩阵的分解技术、矩阵的Kronecker积的性质和Lyapunov函数法,得到了该系统均方鲁棒稳定的几个充分性条件.通过一个数值例子说明了所得的这些充分性条件的有效性和实用性. 相似文献
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EXPONENTIALSTABILITYOFLINEARTIME-VARYINGIMPULSIVEDIFFERENTIALSYSTEMSWITHDELAYS¥GuanZhihong(关治洪);LiuYongqing(刘永清)(SouthChinaUn... 相似文献
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本文研究了一类具有变时滞Hopfield神经网络的稳定性问题.利用时滞微分不等式方法,获得了几个关于该网络的全局指数稳定性与时滞无关的充分条件,并且给出了此类网络的收敛指数的估计,推广了已知文献的结果.最后给出数值例子证明结论的有效性. 相似文献
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In this paper, using the theory of topological degree and Liapunov functional methods, the authors study the competitive neural networks with time delays and different time scales and present some criteria of global robust stability for this neural network model. 相似文献
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研究了一类中立型Markov跳变随机系统鲁棒指数稳定性,借助于Lyapunov-Krasovskii 泛函方法和随机稳定性理论,给出并证明了使中立型Markov跳变时滞随机系统指数稳定的充分条件,所有结果以线性矩阵不等式形式给出,算例表明了所给出的稳定性判据的有效性. 相似文献
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Kao Yonggui~ 《Annals of Differential Equations》2007,23(4):427-432
In this paper,we implement topological degree theory and Lyapunov-functional methods to obtain the existence and uniqueness of the equilibrium point and its global robust stability for interval Hopfield neural networks with continuously distributed delays.Moreover,the methods used in judging the robust stability are proven practical and easily verifiable. 相似文献
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变时滞细胞神经网络的指数稳定的一个充分条件 总被引:1,自引:0,他引:1
本文我们研究了变时滞细胞神经网络的指数稳定性。利用分析技巧,获得了变时滞细胞神经网络的指数稳定的充分条件,改进了已有文献中的相应结果。 相似文献
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《随机分析与应用》2013,31(2):279-293
A class of nonlinear systems with a time-varying delay is considered.The delay is modeled by a continuous-time Markov process with a finite number of states. Systems of this type may arise in real-time control applications. Employing a “delay-averaging” approach we demonstrate how certain mean-square stochastic stability conditions can be derived in terms of transition functions of the Markov process and stability properties of a system with a constant delay. 相似文献
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Wu Xiaofei 《Annals of Differential Equations》2005,21(4):598-603
In this paper, using fixed point method, discusses the problem of periodic solution for a class of degenerate neutral periodic system with delay, and obtains some sufficient conditions for the existence and uniqueness of periodic solution of the system, the result extends and improves some results of paper [1-2]. 相似文献
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Renji Han Dept.of Basic Courses Huishang Vocational College Hefei Wei Jiang 《Annals of Differential Equations》2012,(1):38-47
In this paper,the asymptotic stability of singular nonlinear differential systems with unbounded delays is considered.The stability criteria are derived based on a kind of Lyapunov-functional and some technique of matrix inequalities.The criteria are described as matrix equation and matrix inequalities,which are computationally flexible and efficient.Two examples are given to illustrate the results. 相似文献
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This paper studies scale-type stability for neural networks with unbounded time-varying delays and Lipschitz continuous activation functions. Several sufficient conditions for the global exponential stability and global asymptotic stability of such neural networks on time scales are derived. The new results can extend the existing relevant stability results in the previous literatures to cover some general neural networks. 相似文献
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1IntroductionandLemmaOneofthemostbasicissuesthatarisesinthecontroltheoryisthero-bustnessofmultivariab1esystems,i.e.theirabilitytomaintainstabilityandperformanceiRthefaceofuncertainties.Inthislight,stabilityisaprimaryconcernedsinceanunstablesystemisobviouslyuseless.Therobustnessofmultivariab1econtrolsystemshasbeenextensivelystudiedinthepast[l,2].Inpaper[2],usingthefrequencyaswellasthetimedomainapproach,thepro-blemofrobustnessofabsolutestabilityofLuriesystemswithnonlinearitiessubjecttomodelvar… 相似文献