共查询到19条相似文献,搜索用时 218 毫秒
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高娟 《计算技术与自动化》2008,27(4):24-26
研究一类具有时滞的细胞神经网络的稳定性问题,利用Lyapunov—Krasovskii泛函的方法,给出时滞相关的稳定性判据。稳定性判据是以线性矩阵不等式的形式给出,可以很容易得出时滞的上界。在得到时滞相关的稳定性判据的同时也可以得到时滞无关的稳定性判据。数值算例说明其结果的优越性。 相似文献
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不确定时滞Lur''''e型控制系统与时滞相关的绝对稳定性(英文) 总被引:1,自引:0,他引:1
研究了一类参数不确定的具有多个时滞的Lur'e型控制系统与时滞相关绝对稳定性问题.通过将原系统变换为等价的奇异系统,利用Moon不等式放大向量积,构造出一个新的Lya-punov-Krasovskii泛函.并由此基于线性矩阵不等式,得到了系统与时滞相关绝对稳定的充分条件.这些充分条件无须预调任何参数矩阵,可以直接运用Matlab软件中LMI工具箱求解.数值例子表明,与现有结果相比,本文结果较大地改进了保证不确定时滞Lur'e型控制系统绝对稳定的时滞界. 相似文献
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不确定时滞Lur'e型控制系统与时滞相关的绝对稳定性 总被引:2,自引:1,他引:2
研究了一类参数不确定的具有多个时滞的Lur'e型控制系统与时滞相关绝对稳定性问
题.通过将原系统变换为等价的奇异系统,利用Moon不等式放大向量积,构造出一个新的
Lyapunov-Krasovskii泛函.并由此基于线性矩阵不等式,得到了系统与时滞相关绝对稳定的充分条
件.这些充分条件无须预调任何参数矩阵,可以直接运用Matlab软件中LMI工具箱求解.数值例
子表明,与现有结果相比,本文结果较大地改进了保证不确定时滞Lur'e型控制系统绝对稳定的
时滞界. 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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利用微分方程理论,将具有不确定性的中立型系统的稳定性问题转换为二个迟后系统的稳定性问题,这一转换可以大大减少稳定性讨论的复杂程度。通过引用迟后系统的相关研究结果,得到中立型系统时滞相关和时滞无关两类稳定性判据,每一类结果包括工程上实用的代数法和理论上具较小保守性的线性矩阵不等式(LMI)表示的判据。给出二个数值例子,并将研究结果与同类研究结果进行比较,算例表明,提出的转换方法是有效的。 相似文献
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由Lyapunov和一种Razumikhin型的方法, 讨论了带有时滞状态的不确定Lur’e_Postnikov系统的鲁棒镇定. 证明对带有状态时滞和范数有界扰动的不确定Lur’e_Postnikov系统, 若其系统矩阵满足某个代数Riccati不等式, 则可通过某 (静态 )线性状态反馈或 (动态 )状态反馈使其闭环系统是二次稳定的. 同样, 应用一Razumikhin型方法, 对带有时变时滞的一类不确定非线性系统的能稳定性问题, 也给出一个充分条件. 相似文献
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TAKASHI AMEMIYA 《International journal of control》2013,86(5):1071-1079
Stabilization of delayed linear systems by state-variable feedback is studied in this paper. The assignability of the decaying rate of these systems is also considered. The conditions obtained are applicable to systems with time-varying delays without any restriction. The basis of these conditions is a criterion for delay-independent stability of linear system previously obtained. It is shown that in some cases a system is delay-independent stabilizable although a decaying rate is not assignable for this system. 相似文献
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The authors develop results on the robust stability of a nonlinear control system containing both parametric as well as unstructured uncertainty. The basic system considered is that of the classical Lur'e problem of nonlinear control theory. A robust version of the Lur'e problem consisting of a family of linear time-invariant systems subjected simultaneously to bounded parameter variations and feedback perturbations from a family of sector-bounded nonlinear gains is presently treated. By using the Kharitonov theorem to develop some extremal results on positive realness of interval transfer functions (i.e. a family of rational transfer functions with bounded independent coefficient perturbations), the authors determine the size of a sector of nonlinear feedback gains for which absolute stability can be guaranteed. These calculations amount to the determination of the stability margin of the system under joint parametric and nonlinear feedback perturbations 相似文献
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Based on design of an observer, the issue of dynamic output feedback control is studied for uncertain discrete systems with delays. A comparison theorem is given for nonlinear uncertain discrete systems with multiple time delays. Based on the comparison theorem with some inequalities, some delay-independent sufficient conditions for the robust stabilization of the systems are presented by means of output feedback. 相似文献
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LIU Bi-Yu~ 《自动化学报》2005,(5)
Based on design of an observer,the issue of dynamic output feedback control is studied for uncertain discrete systems with delays.A comparison theorem is given for nonlinear uncertain discrete systems with multiple time delays.Based on the comparison theorem with some inequalities, some delay-independent sufficient conditions for the robust stabilization of the systems are presented by means of output feedback. 相似文献
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A direct approach to the Lur'e problem for singularly perturbed systems (SPS) is proposed. In contrast to previous results, the feedback connection between the linear and nonlinear parts of SPS is allowed to depend essentially on both the slow and the fast variables. The Lur'e problem for multiparameter SPS is studied by the same framework 相似文献
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KIMIO AKAZAWA TAKASHI AMEMIYA HIDEKATSU TOKUMARU 《International journal of control》2013,86(4):1195-1202
There are two different conditions for the delay-independent stabilization of linear systems by means of state variable feedback including no delays, one of which is also sufficient for decay rate assignability. In this paper a wider condition is presented for delay-independent stabilization. It is proved that this condition includes the conditions so far obtained 相似文献
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In this paper,the problem of global output feedback stabilization for a class of upper-triangular nonlinear systems with time-varying time-delay in the state is considered.The uncertain nonlinearities are assumed to be higher-order in the unmeasurable states.Based on the extended homogeneous domination approach,using a low gain observer in combination with controller,the delay-independent output feedback controller makes closed-loop system globally asymptotically stable under a homogeneous growth condition. 相似文献