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1.
The integral-inequality method is a new way of tackling the delay-dependent stabilization problem for a linear system with time-varying state and input delays: . In this paper, a new integral inequality for quadratic terms is first established. Then, it is used to obtain a new state- and input-delay-dependent criterion that ensures the stability of the closed-loop system with a memoryless state feedback controller. Finally, some numerical examples are presented to demonstrate that control systems designed based on the criterion are effective, even though neither (A,B1) nor (A+A1,B1) is stabilizable.  相似文献
2.
Stability and robust stability for systems with a time-varying delay   总被引:2,自引:0,他引:2  
PooGyeon Park  Jeong Wan Ko 《Automatica》2007,43(10):1855-1858
To concern the stability and robust stability criteria for systems with time-varying delays, this note uses not only the time-varying-delayed state x(t-h(t)) but also the delay-upper-bounded state to exploit all possible information for the relationship among a current state x(t), an exactly delayed state x(t-h(t)), a marginally delayed state , and the derivative of the state , when constructing Lyapunov-Krasovskii functionals and some appropriate integral inequalities, originally suggested by Park (1999. A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Transactions on Automatic Control, 44(4), 876-877). Two fundamental criteria are provided for the cases where no bound of delay derivative is assumed and where an upper bound of delay derivative is assumed. Examples show the resulting criteria outperform all existing ones in the literature.  相似文献
3.
线性时滞系统的时滞相关无源控制   总被引:1,自引:0,他引:1       下载免费PDF全文
讨论了线性时滞系统的时滞相关无源性及无源控制问题.首先,建立了一个基于二次型项的积分不等式.然后,利用这一不等式,采用Lyapunov_Krasovskii泛函方法,获得了系统基于线性矩阵不等式(LMI)的时滞相关无源条件,不必对系统进行模型变换.利用这一条件,给出了无记忆状态反馈无源控制器的设计方法.最后,用一个数值例子说明了该方法所得结果较已有文献具有较小的保守性.  相似文献
4.
线性时滞广义系统的时滞相关H控制   总被引:1,自引:0,他引:1       下载免费PDF全文
讨论线性时滞广义系统的时滞相关H∞控制.首先利用Park不等式建立了一个基于二次型项的积分不等式,然后利用Lyapunov_Krasovskii泛函方法,获得了系统经慢子系统的无记忆状态反馈后不仅内部稳定,而且具有给定的H∞性能的,基于LMI的时滞相关充分条件.数值例子表明本文方法所得结论较已有文献具有较小的保守性.  相似文献
5.
In this paper, a class of non-autonomous neural networks with delays is considered. By using the properties of spectral radius of nonnegative matrix, two new integral inequalities are established. Based on the integral inequalities, some new sufficient conditions for the existence of quasi-invariant and attracting sets of the non-autonomous neural networks with delays are obtained. The framework of the quasi-invariant and attracting sets is also given. The results extend and improve the earlier publications. One example is presented to illustrate the effectiveness of our conclusion.  相似文献
6.
基于Lyapunov稳定性理论和线性矩阵不等式方法,研究一类时滞区间已知且下限不为零的不确定时变时滞系统的非脆弱鲁棒 H¥控制器设计问题,通过构造合理的Lyapunov-Krasovskii函数,结合一种新的积分不等式的方法,得到该类时滞系统渐近稳定且满足H¥性能指标的时滞相关充分条件,并基于改进的锥补线性化迭代算法(Im-proved Cone Complementary Linearization,ICCL)给出一种具有低保守型的非脆弱鲁棒H¥状态反馈控制器的设计方法,仿真结果说明了该控制器设计方法的有效性。  相似文献
7.
根据积分不等式自身的特点选择适当的积分区间,利用变上限积分在相应区间上构造出合适的辅助函数,由单调与可导的关系以及积分中值定理或拉格朗日中值定理的巧妙应用确定出该辅助函数的单调性,再由单调性定义得到一些积分不等式并加以证明。  相似文献
8.
针对复杂函数的数值积分问题,给出了若干个任意分割积分区间的数值积分的误差结果,并提出一种基于遗传算法的不等距节点分割的数值积分方法。该方法初始时在积分区间内任意选取一定的节点,通过遗传算法优化这些节点,在相邻节点间利用Simpson公式近似计算积分,最后得到较准确的积分结果。数值计算结果表明,该方法计算精度高,而且可以计算奇异函数及震荡函数的积分。  相似文献
9.
In this paper, the state estimation problem is investigated for neural networks with time-varying delays as well as general activation functions. By applying the Finsler's Lemma and constructing appropriate Lyapunov-Krasovskii functional based on delay partitioning, several improved delay-dependent conditions are developed to estimate the neuron state with some available output measurements such that the error-state system is global asymptotically stable. It is established theoretically that one special case of the obtained criteria is equivalent to some existing result with same conservatism but including fewer LMI variables. As the present conditions involve no free-weighting matrices, the computational burden is largely reduced. Two examples are provided to demonstrate the effectiveness of the theoretical results.  相似文献
10.
针对复杂函数的数值积分求解问题,提出一种基于不等距点分割的差分进化算法。该算法在积分区域中选取一些个体,并利用差分进化算法对其进行优化,通过将函数变化较快的区间分得较细,函数变化较慢的区间分得较粗,得到较准确的数值积分。数值计算结果证明,该算法可以快速计算通常意义下任意函数的定积分,并能计算振荡函数的积分。  相似文献
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