共查询到20条相似文献,搜索用时 78 毫秒
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研究了变时滞退化Lurie控制系统的绝对稳定性问题.基于Lyapunov稳定性理论,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.讨论了变时滞退化Lurie直接控制系统和间接控制系统的绝对稳定性,得到绝对稳定性的充分条件仅依赖于时滞导数的大小,且时滞可以是无界函数:最后给出了实例说明本文结果的有效性. 相似文献
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本文主要研究了一类随机时滞神经网络的稳定性条件.利用随机分析技巧和不动点原理,建立了一个关于随机时滞神经网络指数稳定性判定的新的准则. 相似文献
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讨论了一般时间尺度上时滞脉冲系统的双测度稳定性问题.我们引进了一个新的概念即一般时间尺度上时滞脉冲系统的(h_0,h)稳定性.利用Lyapunov函数法和分析法得到了一般时间尺度上时滞脉冲系统解的双测度稳定性判据.最后给出了一个例子以说明本文结论的有效性. 相似文献
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本文研究了一类具有变时滞Hopfield神经网络的稳定性问题.利用时滞微分不等式方法,获得了几个关于该网络的全局指数稳定性与时滞无关的充分条件,并且给出了此类网络的收敛指数的估计,推广了已知文献的结果.最后给出数值例子证明结论的有效性. 相似文献
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在社会经济系统中,广泛地存在着多重时滞的正系统.对于连续型时滞正系统的全时滞稳定问题,文献[1]已给出简单而实用的代数判别方法.本文通过对离散型多重时滞正系统的深入研究,给出一个全时滞稳定的简单代数充要判别方法,并建立了时滞系统渐近稳定与时滞系统全时滞稳定之间的等价关系,避免了在稳定性判别中由于大量状态扩展所带来的困难.此外本文还建立了稳定性与正平衡点之间的等价关系,并讨论了系数 相似文献
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本文研究退化Lurie直接控制时滞系统和退化Lurie间接控制时滞系统的绝对稳定性,基于Lyapunov稳定性理论和线性矩阵不等式得到绝对稳定的判据,即绝对稳定性仅仅依赖于时滞导数的大小.特别地,时滞可以是无界的函数,仿真示例同时说明了此方法的有效性. 相似文献
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Abstract A problem of feedback stabilization of hybrid systems with time-varying delay and Markovian switching is considered. Delay-dependent sufficient conditions for stability based on linear matrix inequalities (LMI's) for stochastic asymptotic stability is obtained. The stability result depended on the mode of the system and of delay-dependent. The robustness results of such stability concept against all admissible uncertainties are also investigated. This new delay-dependent stability criteria is less conservative than the existing delay-independent stability conditions. An example is given to demonstrate the obtained results. 相似文献
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This paper presents new results on delay-dependent stability and stabilization for linear systems with interval time-varying delays. Some less conservative delay-dependent criteria for determining the stability of the time-delay systems are obtained in this paper. Based on the stability conditions, we propose a new state transformation technology to facilitate controller designing efficiently and computationally. The method is also applicable to the existing stability conditions reported by now, while the existing technologies may fail to derive computational control procedures from the stability conditions. Finally, some numerical examples well illustrate the effectiveness of the proposed method. 相似文献
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Yuhao Cong & Shouyan Wu 《计算数学(英文版)》2022,40(3):484-498
This paper considers the asymptotic stability of linear multistep (LM) methods for neutral systems with distributed delays. In particular, several sufficient conditions for delay-dependent stability of numerical solutions are obtained based on the argument principle. Compound quadrature formulae are used to compute the integrals. An algorithm is proposed to examine the delay-dependent stability of numerical solutions. Several numerical examples are performed to verify the theoretical results. 相似文献
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Improved delay-dependent stability criterion for neural networks with time-varying delay 总被引:1,自引:0,他引:1
In this paper, the problem of delay-dependent asymptotic stability criterion for neural networks with time-varying delay has been considered. A new class of Lyapunov functional which contains a triple-integral term is constructed to derive some new delay-dependent stability criteria. The obtained criteria are less conservative because free-weighting matrices method and a convex optimization approach are considered. Finally, numerical examples are given to illustrate the effectiveness of the proposed method. 相似文献
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具有非线性扰动的中立型系统的时滞相关稳定性 总被引:1,自引:0,他引:1
本研究了具有非线性扰动的中立型系统鲁棒稳定的时滞相关准则。基于LMI方法,并利用S—过程获得了依赖于时滞的鲁棒稳定性准则,所得结果优于已有结论。最后给出一个实例说明本方法的有效性。 相似文献
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The problem of delay-dependent asymptotic stability criteria for neural networks (NNs) with time-varying delays is investigated. An improved linear matrix inequality based on delay-dependent stability test is introduced to ensure a large upper bound for time-delay. A new class of Lyapunov function is constructed to derive a novel delay-dependent stability criteria. Finally, numerical examples are given to indicate significant improvement over some existing results. 相似文献
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A delay decomposition approach to stability analysis of neutral systems with time-varying delay 总被引:1,自引:0,他引:1
This paper presents novel stability criteria for neutral systems with time-varying delay. By developing a delayed decomposition approach, information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs). Then, based on the Lyapunov method, delay-dependent stability criteria are devised by taking the relationship between terms in the Leibniz-Newton formula into account. Criteria are derived in terms of LMIs, which can be easily solved by using various convex optimization algorithms. Three illustrative numerical examples are given to show less conservatism of our obtained results and the effectiveness of the proposed method. 相似文献
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利用Razumikhin技术与向量不等式的方法 ,研究具有多个时变时滞的控制系统的绝对稳定性问题 ,并通过优化参数得到具有较低保守性的时滞相关结果 . 相似文献
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This paper investigates the delay-dependent global asymptotic stability problem of stochastic genetic regulatory networks (SGRNs) with Markovian jumping parameters. Based on the Lyapunov-Krasovskii functional and stochastic analysis approach, a delay-dependent sufficient condition is obtained in the linear matrix inequality (LMI) form such that delayed SGRNs are globally asymptotically stable in the mean square. Distinct difference from other analytical approaches lies in “linearization” of the genetic regulatory networks (GRNs) model, by which the considered GRN model is transformed into a linear system. Then, a process, which is called parameterized first-order model transformation is used to transform the linear system. Novel criteria for global asymptotic stability of the SGRNs with constant delays are obtained. Some numerical examples are given to illustrate the effectiveness of our theoretical results. 相似文献
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Shyh-Feng Chen 《Applied mathematics and computation》2010,216(9):2613-2622
This paper addresses the problem of delay-dependent stability of 2D systems with time-varying delay subject to state saturation in the Roesser model. By introducing diagonally dominant matrices, new delay-dependent conditions are obtained in terms of linear matrix inequalities (LMIs) where the lower and upper delay bounds along horizontal and vertical directions, respectively, are known. numerical examples are provided to demonstrate the proposed results. 相似文献