共查询到19条相似文献,搜索用时 125 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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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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时变时滞Lurie控制系统的绝对稳定性 总被引:1,自引:0,他引:1
基于Lyapunov稳定性定理,利用线性矩阵不等式方法给出了系统绝对稳定的判别准则.讨论了具有多个时变时滞的Lurie直接控制系统和Lurie间接控制系统的绝对稳定性.所得结论是时滞无关的,即绝对稳定性充分条件仅依赖于时滞导数的大小,特别地,时滞可为无界函数.通过一个示例说明有时得到时滞相关的绝对稳定性条件比时滞无关的稳定性条件具有更大的保守性,促使今后寻找另外的方法和工具得到保守性较低的稳定性条件.仿真示例同时说明此方法对时滞为无界函数时的有效性. 相似文献
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一类存在范数有界不确定性的线性时变时滞系统, 其时变时滞仅给出时滞变化的上下界, 而对时滞变化率未作任何约束. 对于这类区间时变时滞系统, 给出了一种新型的 Lyapunov-Krasovskii 泛函讨论其稳定性, 通过分割平均时滞的方法减小保守性, 得到以线性矩阵不等式(LMI)形式给出的稳定性判据. 最后分析并给出了一种带记忆的 H∞ 状态反馈控制器. 数值实例表明了本文方法的有效性. 相似文献
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当主从耦合混沌系统的参数之间非恒同时,一般意义上的混沌同步难以实现,因此,讨论了其具有一定误差界的一致同步问题.本文对一类包含Lur’e系统和Lipschitz系统在内的混沌系统,应用Lyapunov函数方法导出通过时滞输出反馈控制实现一致同步的充分条件,该判据用矩阵不等式的形式给出.进而讨论了同步的鲁棒性问题.最后结合Chua电路对结论进行了数值模拟,验证了结论的正确性与有效性. 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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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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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
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TAKASHI AMEMIYA KIMIO AKAZAWA HIDEKATSU TOKUMARU 《International journal of control》2013,86(6):1725-1735
In a previous paper (Amemiya 1983) two sufficient conditions were introduced for the delay-independent stabilization of linear systems by means of state-variable feedback including no delays. In this paper the concept of delay-independently upper or lower bound of decaying rate assignability (DIUDA or DILDA) are introduced and it is proved that the two conditions previously obtained are necessary and sufficient condition for DIUDA and necessary condition for DILDA of linear systems by means of state-variable feedback including no delays. The conditions obtained are also applicable to systems including time-varying delays. 相似文献
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A delay-independent sufficient condition is derived that guarantees the global asymptotic stability of uncertain time-delay systems containing a class of series nonlinearities, under the linear state feedback. Such a linear state feedback is constructed via a suitable choice of parameters to solve an algebraic Riccati equation. 相似文献