共查询到16条相似文献,搜索用时 62 毫秒
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刘小群 《计算机工程与科学》2013,35(7):82-86
通过构造新的Lyapunov泛函,在Lyapunov泛函中巧妙引入可调的实参数,并结合不等式运用的一些技巧,讨论了时延细胞神经网络的全局渐近稳定性问题,得到了该模型的平衡点全局渐近稳定的一些新的充分条件。所得的结果改进推广了已有文献中相应的一些结论,并且可应用于以前所不能处理的若干情形。理论分析和数学推导表明,全局渐近稳定性的一个简单充分判据与时延是有关的。所得结果突出了时延对于细胞神经网络的全局渐近稳定性的影响,这对于设计带时延的细胞神经网络有着重要的参考价值。此外,通过实例说明了相应结果的应用,这在理论上和应用中都有着重要的意义。 相似文献
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切换系统输入对状态稳定性的充分条件 总被引:12,自引:1,他引:11
研究了切换系统输入对状态的稳定性.在所有子系统都是输入对状态稳定的条件下,利用各子系统的KY函数和K函数构造出切换系统所需的KY函数和X函数,从而给出了切换系统输入对状态稳定的充分条件.对于一类常见的切换系统,计算出保证输入对状态稳定性的切换停留时间的下界,所有结果都是构造性的. 相似文献
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刘妹琴 《模式识别与人工智能》2005,18(1)
提出一种新的神经网络模型--标准神经网络模型(SNNM),并给出基于线性矩阵不等式(LMI)的SNNM平衡点的全局渐近稳定性定理.通过状态的线性变换,将推广的离散BAM神经网络转化为SNNM,利用SNNM的稳定性结论,判定该离散BAM的全局渐近稳定性.该方法扩展了以前的稳定性结果,保守性低,容易验证,同时也适用于其它类型的递归神经网络的稳定性分析. 相似文献
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非线性控制系统的输入-状态稳定性及有关问题 总被引:4,自引:0,他引:4
输入-状态稳定性是80年代末对非线性控制系统提出的一个有用的概念,由于其具有广泛的应用前景,而得到普遍的重视,本文介绍进入90年代以来对这种稳定性以及由此派生出来的其他稳定性研究的主要成果,讨论了相关的镇定问题,同时给出作者的评注。 相似文献
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讨论了一类带有时滞的中立型神经网络的稳定性问题。通过构造Lyapunov-Krasovskii泛函,利用矩阵Schur补性质研究了此类中立型时滞神经网络模型的全局渐近稳定性,得出基于矩阵特征值的稳定性的充分判据,并给出基于矩阵特征值的时滞Hopfield神经网络全局渐近稳定性的充分条件;数值仿真检验了结果的有效性。 相似文献
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吴海霞 《数字社区&智能家居》2014,(7):4544-4549
针对一类具有区间时滞和随机干扰的BAM神经网络的全局渐近稳定性问题,通过构造合适的Lyapunov-Krasovskii泛函,应用随机分析和自由权值矩阵方法,并考虑时滞区间范围,得到了新的稳定性充分条件。该条件能够保证时滞BAM神经网络在均方意义下是全局渐近稳定的,同时适用于快时滞和慢时滞,其适用范围更广。最后,通过一个仿真实例证明了定理的有效性。 相似文献
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This paper addresses the problems of the input-to-state practical stability (ISPS) analysis and output feedback controller design for switched affine systems (SASs) subject to external disturbances. First, a switched affine observer is developed to estimate unmeasurable states. Then by combining the sampled-data control approach, a less conservative mode-dependent dynamic event-triggered mechanism (ETM) is established. The proposed dynamic ETM cannot only avoid Zeno behavior but also reduce the network transmission burden effectively. Further, based on time-dependent Lyapunov-Krasovskii functional and state-dependent switching laws, a set of feasible ISPS conditions are presented in the LMI forms by means of singular value decomposition. The designed switching law depends upon the sampled-data information of the estimated state and gets rid of the chattering phenomenon. Finally, an application example of the DC-DC flyback converter is given to verify the efficacy of the proposed algorithm. 相似文献
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Input-to-state stability of switched nonlinear systems 总被引:1,自引:0,他引:1
The input-to-state stability (ISS) problem is studied for switched systems with infinite subsystems. By using multiple Lyapunov function method, a sufficient ISS condition is given based on a quantitative relation of the control and the values of the Lyapunov functions of the subsystems before and after the switching instants. In terms of the average dwell-time of the switching laws, some sufficient ISS conditions are obtained for switched nonlinear systems and switched linear systems, respectively. 相似文献
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Fang Qiu 《International journal of systems science》2013,44(12):1319-1328
This article studies a class of Cohen–Grossberg neural networks (CGNNs) with variable and distributed delays. Some novel conditions guaranteeing the existence, uniqueness and the estimated location of the equilibrium points are obtained. Using these results, the global asymptotic stability of the CGNNs can be derived without demanding the boundedness and the globally Lipschitz condition of the activation functions. Two numerical examples are demonstrated to verify the theoretical results. 相似文献
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Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays 总被引:3,自引:0,他引:3
Wu-Hua Chen Author Vitae 《Automatica》2009,45(6):1481-1488
This paper is concerned with analyzing input-to-state stability (ISS) and integral-ISS (iISS) for nonlinear impulsive systems with delays. Razumikhin-type theorems are established which guarantee ISS/iISS for delayed impulsive systems with external input affecting both the continuous dynamics and the discrete dynamics. It is shown that when the delayed continuous dynamics are ISS/iISS but the discrete dynamics governing the impulses are not, the ISS/iISS property of the impulsive system can be retained if the length of the impulsive interval is large enough. Conversely, when the delayed continuous dynamics are not ISS/iISS but the discrete dynamics governing the impulses are, the impulsive system can achieve ISS/iISS if the sum of the length of the impulsive interval and the time delay is small enough. In particular, when one of the delayed continuous dynamics and the discrete dynamics are ISS/iISS and the others are stable for the zero input, the impulsive system can keep ISS/iISS no matter how often the impulses occur. Our proposed results are evaluated using two illustrative examples to show their effectiveness. 相似文献