共查询到19条相似文献,搜索用时 134 毫秒
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时滞切换系统的时滞依赖稳定 总被引:2,自引:1,他引:1
首先利用多Lyapunov 函数方法, 分析常时滞切换系统的时滞依赖稳定性, 并给出此系统时滞依赖稳定的充分条件及切换律的设计; 然后运用共同Lyapunov 函数方法, 研究一类时变时滞切换系统的时滞依赖稳定性, 也给出此系统时滞依赖稳定的充分条件及切换律的设计. 所得结果均可用线性矩阵不等式方法求解. 最后通过仿真验证了结论的正确有效性. 相似文献
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本文研究了具有时滞的线性不确定系统的鲁棒稳定性问题。利用矢量不等式的方法和Lyapunov稳定性原理,给出了不确定时滞系统鲁棒稳定的充分条件,最后以挠性航天器为例验证方法的有效性。 相似文献
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一类切换模糊时滞系统的状态反馈控制 总被引:2,自引:0,他引:2
针对切换模糊时滞系统,根据平行分布补偿算法,设计了模糊状态反馈控制器.使用切换技术及单Lyapunov函数和多Lyapunov函数方法,给出了这一类切换模糊时滞系统渐近稳定的充分条件及切换律.仿真结果表明了方法的有效性. 相似文献
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研究了一类带有时滞的不确定奇异系统的H∞控制问题.利用Lyapunov泛函方法和线性矩阵不等式工具,得到闭环系统正则、渐近稳定且具有H∞范数界的时滞相关充分条件.基于相应的线性矩阵不等式可行解。给出奇异系统的H∞控制律.最后的数值例子表明了该方法的有效性. 相似文献
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时滞系统的H^∞状态反馈控制 总被引:21,自引:2,他引:19
提出求解时滞系统的H~∞状态反馈控制问题的代数方法。基于代数Riccati方程,给出了时滞系统的闭环传递函数H~∞范数小于等于某一给定界γ的充分条件,并通过适当构造Lyapunov函数,证明了闭环时滞系统是渐近稳定的。 相似文献
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本文利用Lyapunov稳定性理论通过一个推广的Lyapunov矩阵方程得出了线性时滞系统利用无记忆反馈控制能够镇定的充分条件,最后给出的例子充分说明了所得结果的有效性。 相似文献
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灰色随机线性时滞系统的渐近稳定性 总被引:2,自引:0,他引:2
首先提出了灰色随机线性时滞系统及其渐近稳定性的概念;然后,利用矩阵理论和随机微分时滞方程解的渐近收敛定理及李雅普诺夫函数,研究了灰色随机线性时滞系统的渐近稳定性,得到了随机淅近稳定的几个充分性条件;最后,通过数值例子说明了所得结果在实际应用中的方便性和有效性. 相似文献
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This paper offers new necessary and sufficient conditions for delay‐dependent asymptotic stability of the linear continuous large scale time delay systems. The obtained conditions of stability are expressed by nonlinear system of matrix equations and the Lyapunov matrix equation for an ordinary linear continuous system without delay. 相似文献
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利用时滞分解和平均驻留时间方法讨论一类时滞切换系统的稳定性问题.定义了更为一般的Lyapunov函数,结合Jensen积分不等式和倒数凸组合技术得到的线性矩阵不等式条件具有更小的保守性和更低的计算复杂性给出的仿真算例进一步验证了所得结果的有效性. 相似文献
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研究了离散的切换线性时滞正系统的稳定性问题.通过运用切换线性余正(copositive)Lyapunov泛函和共同线性余正(copositive)Lyapunov泛函分别得到了关于平衡点全局渐近稳定性的线性规划(LP)和线性矩阵不等式(LMI)判别法则. 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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In this note, we propose two new sufficient conditions on finite time stability for nonlinear time delay systems. First, a sufficient condition is proposed to verify the stability of systems by employing a continuously differentiable Lyapunov‐Krasovskii functional with indefinite derivative. Second, another sufficient condition is proposed by extending the Razumikhin approach, moreover, the corresponding estimate on convergence time of systems is also given. The results obtained herein are less conservative than the existing methods, i.e., they relax the restriction that the Lyapunov function of systems has to be decreasing in the convergence process. Finally, two numerical examples are provided to show the effectiveness of the theoretical results. 相似文献
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Anti‐Synchronization and Intermittent Anti‐Synchronization of Two Identical Delay Hyperchaotic Chua Systems Via Linear Control 下载免费PDF全文
Hong‐Li Li Zuolei Wang Yao‐Lin Jiang Long Zhang Zhidong Teng 《Asian journal of control》2017,19(1):202-214
This work is concerned with anti‐synchronization and intermittent anti‐synchronization of two identical delay hyperchaotic Chua systems with linear control approaches. In the first two schemes, based on Lyapunov stability theory, some sufficient conditions for achieving anti‐synchronization of two identical delay hyperchaotic Chua systems are derived, numerical simulation results are presented to demonstrate the effectiveness of the proposed anti‐synchronization schemes. In the third scheme, the anti‐synchronization conditions are obtained by numerical method. In the fourth scheme, only one state of the response system is controlled via linear control, we report an interesting phenomenon of intermittent anti‐synchronization. 相似文献