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非线性随机时滞系统族的鲁棒稳定性 总被引:4,自引:0,他引:4
研究了不确定性的一族非线性随机时滞系统的指数稳定性,建立了这种系统的均
方指数稳定和几乎必然指数稳定的时滞相关的充分准则;然后应用这些充分条件到一类不确
定性的随机时滞神经网络,得到了这种神经网络指数稳定的实用判据.最后一个数值例子说
明所给准则的有效性. 相似文献
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Xiaofeng Liao Kwok-Wo Wong Zhongfu Wu 《Neural Networks, IEEE Transactions on》2003,14(1):222-227
In this paper, the asymptotic stability of a two-neuron system with different time delays has been investigated. Some criteria for determining the global asymptotically stability of equilibrium are derived from the theory of monotonic dynamical system and the approach of Lyapunov functional. For local asymptotic stability, some elegant criteria are also obtained by the Nyquist criteria. We find that one of them depends on the length of delays while the other ones do not. In the latter case, the delays are sometimes called harmless delays. The results obtained have leading significance in the study of neural networks composed of a large number of neurons with different time delays. 相似文献
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针对准单边Lipschitz不确定非线性时滞系统的稳定性分析 总被引:1,自引:0,他引:1
研究了一类不确定非线性时滞系统的鲁棒稳定性. 准单边Lipschitz条件被介绍, 并被用于估计非线性向量函数在稳定性分析中的影响. 线性矩阵不等式形式的时滞无关/时滞相关稳定性判据被得到. 此外, 即使系统系数是不稳定的, 这些稳定性判据也是可利用的, 因为未必正定的准单边Lipschitz常数矩阵包含了很多非线性部分的有用信息. 数值实例证实了本文所获结果的有效性. 相似文献
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Zhi Lian Yong He Chuan-Ke Zhang Min Wu 《International Journal of Control, Automation and Systems》2016,14(1):21-28
This paper is concerned with the problem of delay-dependent stability criteria for Takagi-Sugeno systems with time-varying delay. The less conservative delay-dependent stability criteria in terms of linear matrix inequalities are obtained by constructing a novel augmented Lyapunov-Krasovskii functional. In order to further improve the stability conditions, the free- matrix-based integral inequality is employed. Finally, several numerical examples on time-delay stability analysis are given to demonstrate the effectiveness and the merits of the proposed methods. 相似文献
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基于增广Lyapunov泛函的Lurie时滞系统的绝对稳定性 总被引:2,自引:0,他引:2
对Lurie时滞系统的绝对稳定性问题进行了研究. 利用增广的Lyapunov泛函结合自由权矩阵方法, 得到了系统基于线性矩阵不等式(LMI)的时滞相关绝对稳定条件. 数值实例表明本文方法所得结果要优于现有文献中的结果. 相似文献
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本文采用李雅普诺夫泛函法和一个矢量不等式建立了若干具有任意未知常时滞系统的鲁棒稳定性判据.所获得结果是时滞无关的、文中示例说明了所得稳定性判据减少了现存结果的保守性. 相似文献
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In this paper, the problem of stability criteria of neural networks with two additive time-varying delay components is investigated. Some new delay-dependent stability criteria are derived in terms of linear matrix inequalities by choosing a new class of Lyapunov functional. The obtained criteria are less conservative because reciprocally convex approach and convex polyhedron approach are considered. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. 相似文献
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Min Wu Zhi-Yong Feng Yong He 《International Journal of Control, Automation and Systems》2009,7(6):1009-1014
The problem of absolute stability of Lur’e systems with time-delay is investigated in this paper. By employing a new Lyapunov-Krasovskii
functional with the idea of N-segmentation of delay length, less conservative delay-dependent stability criteria are obtained
and formulated in the form of linear matrix inequalities (LMIs). Numerical example shows that the results obtained in this
paper are better than existing ones. 相似文献
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This paper investigates the robust stability problem for a class of uncertain neutral-type delayed systems. The systems under consideration contain parameter uncertainties and time-varying delays. We aim at designing less conservative robust stability criteria for such systems. A new second-order reciprocally convex inequality is first proposed in order to deal with double integral terms. Then, by constructing a new Lyapunov– Krasovskii functional and employing the improved Wirtinger-based integral inequality and the reciprocally convex combination approaches, novel stability criteria are obtained. Moreover, the stability conditions for standard time-delay system are obtained as by-product results. Comparisons in three numerical examples illustrate the effectiveness of our results. 相似文献
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This paper is concerned with robust absolute stability of uncertain Lur'e systems of neutral type. Some delay‐dependent stability criteria are obtained and formulated in the form of linear matrix inequalities. The criteria cover some existing results as their special cases. Neither model transformation nor bounding technique for cross terms is involved through derivation of the stability criteria. Numerical examples show the effectiveness of the criteria. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
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This paper is concerned with a class of cellular neural networks with proportional delay and impulses. First, by employing the improved Razumikhin technique and Lyapunov functions, some delay-dependent criteria are established to guarantee asymptotic stability and global stability of a class of general impulsive differential equations with proportional delay. Second, applying the obtained criteria, we get some delay-dependent sufficient conditions ensuring the existence, uniqueness and globally asymptotic stability of the equilibrium point of the cellular neural networks with proportional delay and impulses presented in this paper. Finally, three examples are presented to illustrate the effectiveness and advantages of the results obtained. 相似文献
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基于LMI方法的时滞细胞神经网络稳定性分析 总被引:9,自引:0,他引:9
神经网络是一个复杂的大规模非线性系统,而时滞神经网络的动态行为更为丰富和复杂.现有的研究时滞神经网络稳定性的方法中最为流行的是Lyapunov方法.它把稳定性问题变为某些适当地定义在系统轨迹上的泛函,通过这些泛函相应的稳定性条件就可以获得.该文得到了时滞细胞神经网络渐近稳定性的一些充分条件.作者利用了泛函微分方程的Lyapunov—Krasovskii稳定性理论和线性矩阵不等式(LMI)方法,精炼和推广了一些已有的结果.它们比目前文献报道的结果更少保守.该文还给出了确定时滞细胞神经网络稳定性更多的判定准则. 相似文献
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Frequency domain criteria for stability of a class of multiloop nonlinear stochastic systems are presented in this paper. The Yakubovich criterion is used in the investigation of asymptotic stability with probability one. The obtained results are illustrated by the example. 相似文献
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This paper is concerned with neutral stochastic delay differential equations with Markovian switching (NSDDEs-MS). A kind of ψ ??function is introduced and some criteria on the attractor for the product of the ψ ??function are obtained. By the new criteria, the almost sure stability with the general decay rate of NSDDEs-MS could be examined, including the exponential stability and the polynomial stability. Finally, an example is provided to illustrate the applications of our results clearly. 相似文献