共查询到18条相似文献,搜索用时 625 毫秒
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研究了一类含有时变时滞的神经网络无源分析问题。通过将时滞区间分解为两个子区间和构造新颖的Lyapunov泛函,得到了基于LMIs(线性矩阵不等式)形式的时滞相关无源的新准则。这个新准则推广了一些已有的结果,并且具有更少的保守性。最后,数值例子和仿真验证了结论的有效性。 相似文献
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一类切换广义时滞系统的时滞相关稳定性准则 总被引:3,自引:0,他引:3
针对一类切换广义时滞系统的稳定性问题进行了研究.提出了一种新的研究切换广义时滞系统的多Lyapunov泛函,利用Lyapunov稳定性理论和线性矩阵不等式工具,通过引入适当的自由权矩阵,在设定的切换律下,得到了基于严格线性矩阵不等式表示的切换广义时滞系统的时滞相关稳定性条件.进一步通过建立一个具有线性矩阵不等式约束的凸... 相似文献
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研究一类广义时滞系统的输出反馈无源控制问题。利用线性矩阵不等式,给出广义时滞系统容许(即正则、稳定、无脉冲)且严格无源的充分条件,在此基础上给出静态输出反馈控制器,保证闭环系统容许且严格无源的充分条件,并且利用矩阵不等式的解设计相应的输出反馈控制器,提供一个算例说明结论的有效性。 相似文献
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讨论了线性多时滞不确定离散时间线性系统的时滞相关H_∞控制问题.首先,建立了一个基于二次型项的有限和不等式.然后,利用这一不等式,采用Lyapunov-Krasovskii泛函方法,获得了系统不仅内部稳定而且具有给定的H_∞性能的时滞相关条件,同时以LMI的形式给出了无记忆H_∞控制器的设计方法.最后,数值例子说明了本文方法的有效性. 相似文献
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This paper is concerned with the stochastic stability and passivity analysis for a class of Lur’e singular systems with time-varying delay and Markovian switching. By using the free-weighting matrices approach, a delay-dependent stability criterion, which guarantees that the system is stochastically stable and robustly passive, is derived in terms of linear matrix inequality (LMI). Two numerical examples are provided to illustrate the effectiveness of the proposed method. 相似文献
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Ahmed Ech-charqy Mohamed Ouahi El Houssaine Tissir 《International journal of systems science》2013,44(14):2957-2967
In this paper, the problem of delay-dependent robust stability for singular time-delay systems is investigated. The parametric uncertainties are assumed to be norm bounded. Based on the idea of delay partitioning, A new Lyapunov–Krasovskii functional is proposed to develop new delay-dependent criteria, that ensures the considered system to be regular, impulse free and stable in terms of linear matrix inequalities. Furthermore, the Wirtinger-based integral inequality approach has been employed to derive less conservative results. Finally, some numerical examples are provided to demonstrate the effectiveness of the obtained results and for comparison with previous works. 相似文献
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M. Venkatesh S. Patra K. Ramakrishnan G. Ray 《International journal of systems science》2018,49(12):2586-2600
This paper is concerned with the stability analysis of a linear system with interval time-varying delay using an augmented Lyapunov–Krasovskii (LK) functional approach. A delay-dependent stability criterion is developed in LMI framework to estimate the maximum allowable bound of the time-delay within which the system remains asymptotically stable in the sense of Lyapunov. Conservatism in the proposed delay-dependent stability analysis is reduced by introducing a new LK functional along with the Wirtinger's inequality and extended reciprocally convex matrix inequality. Finally, two numerical examples and the load frequency control problem have been solved to validate the superiority of the proposed stability criterion compared to existing literature. 相似文献
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Guobao Liu 《International journal of systems science》2017,48(7):1395-1403
This paper deals with the problem of delay-dependent stability analysis for singular systems with a constant time delay. By employing the Jensen inequality and the Wirtinger-based inequality, new delay-dependent stability criteria are developed. Furthermore, in order to obtain less conservative results, a new method of constructing Lyapunov--Krasovskii functionals (LKFs) is used. It should be pointed out that the positive-definiteness restrictions on some symmetric matrices of the LKFs are removed. All the criteria are proposed in terms of strict linear matrix inequalities. Finally, numerical examples are given to demonstrate the less conservatism of the results. 相似文献
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多面体不确定系统时滞依赖鲁棒预测控制 总被引:2,自引:0,他引:2
将线性状态变换引入连续时间多面体不确定时滞系统中,利用线性矩阵不等式(LMI)方法,设计时滞相关型鲁棒预测控制器;通过适当选择Lyapunov函数,推导出闭环系统渐近稳定的充分条件,并且该条件是时滞相关的.仿真算例验证了该方法的有效性. 相似文献
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This paper considers the problem of delay-dependent robust stability for uncertain systems with interval time-varying delays. By using the direct Lyapunov method, a new Lyapunov-Krasovskii (L-K) functional is introduced based on decomposition approach, when dealing with the time derivative of L-K functional, a new tight integral inequality is adopted for bounding the cross terms. Then, a new less conservative delay-dependent stability criterion is formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by optimization algorithms. Numerical examples are given to show the effectiveness and the benefits of the proposed method. 相似文献
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针对一类含时变通讯时延的多智能体系统,基于时滞依赖法提出了其在有向网络拓扑下的一类包容控制器设计的方法,该设计能有效地驱使多智能体系统中所有跟随者的状态渐近一致地收敛到领导者运动过程中形成的几何凸包.结合李亚普诺夫稳定性理论和线性矩阵不等式(LMI)方法,推导了多智能体系统包容控制率存在的充分条件,并将包容控制器的设计最终转化成求解线性矩阵不等式可行解的问题.结果表明,该方法对多智能体系统中的时变通讯时延具有良好的补偿效果.最后通过仿真算例验证了此方法的有效性和可行性. 相似文献