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1.
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
2.
《数学的实践与认识》2013,(9)
研究了一类具有混合时滞和非线性干扰中立型不确定随机神经网络鲁棒稳定性,所考虑的不确定为范数有界,混合时滞由离散和分布时滞组成,借助李雅普诺夫函数和随机稳定性理论,利用伊藤公式,给出并证明了使系统鲁棒稳定的充分条件,所有结果以线性矩阵不等式的形式给出,数值算例表明了所给方法的有效性. 相似文献
3.
一类含时变分布时滞的退化中立型系统的鲁棒稳定性(英文) 总被引:1,自引:0,他引:1
考虑含分布时滞的退化中立型系统的鲁棒稳定性.利用算子Ω的稳定性和线性矩阵不等式得到一个新的鲁棒稳定性判据,本判据将中立型时滞、时变离散时滞、时变分布时滞和退化中立型系统一起考虑,相比已有文献具有较低的保守性.利用Matlab可以验证本判据的有效性. 相似文献
4.
主要研究了一类具分布时变时滞不确定系统的输出反馈鲁棒稳定问题.基于动态输出反馈和Lyapunov-Krasovskii泛函,给出了闭环系统与时滞相关的鲁棒稳定的条件.所得条件为线性矩阵不等式形式,便于运用内点算法进行求解. 相似文献
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考虑了两类具有参数不确定性的时滞系统的鲁棒稳定性问题, 给出了系统具有鲁棒性能的几个充要条件. 这些结论对于研究具有时滞的反馈控制系统有重要的理论和实践价值. 相似文献
6.
《数学的实践与认识》2013,(9)
讨论了一类具有非线性扰动的中立型不确定时滞系统的鲁棒稳定性问题.基于增广的Lyapunov-Krasovskii泛函和自由权矩阵的方法,推导出一个以线性矩阵不等式形式给出的时滞相关稳定性的充分条件.最后通过一个数值算例说明了结果的有效性以及较已有工作的改进. 相似文献
7.
针对状态具有多个时滞的线性不确定性系统,基于李雅普诺夫稳定性理论,矩阵不等式及线性矩阵不等式方法,设计带有多个时滞记忆的输出反馈鲁棒H∞容错控制器.研究了在执行器发生故障的情况下,多时滞不确定性系统的鲁棒H∞容错控制的问题.首先给出了多个时滞记忆的输出反馈鲁棒H∞容错控制器的综合分析,进一步给出参数不确定项的多时滞系统的渐近稳定的充分条件,以及满足给定性能指标鲁棒H∞容错控制器的设计方法.仿真结果证明了该方法的有效性和可行性. 相似文献
8.
研究了一类时滞离散神经网络指数稳定及鲁棒稳定问题.结合线性矩阵不等式技术,构造了一个新的广义李亚普诺夫函数,得到了新的指数稳定条件.数值算例表明与以往文献中的结果相比,新准则具有较弱的保守性. 相似文献
9.
一类不确定时滞系统的鲁棒稳定性 总被引:2,自引:0,他引:2
给出了不确定时滞系统鲁棒稳定的若干结果,同时讨论了这类系统的稳定度,改进了前人关于时滞系统稳定性和鲁棒稳定性的一些结论,并给出了应用的例子。 相似文献
10.
本文研究了具有变时滞的非线性随机时滞系统的时滞反馈鲁棒H∞控制问题.利用时滞分割技术,构造了新的Lyapunov-Krasovskii泛函,通过Ito公式,以线性矩阵不等式(LMI)的形式给出了时滞反馈鲁棒H∞控制器存在的充分条件,通过数值仿真算例说明了结论的正确性和方法的有效性. 相似文献
11.
廖晓昕 《中国科学A辑(英文版)》2002,45(4):432-442
In this paper, a new complete and simplified proof for the Husainov-Nikiforova Theorem is given. Then this theorem is generalized
to the case where the coefficients may have different signs as well as nonlinear systems. By these results, the robust stability
and the bound for robustness for high-order interval discrete dynamical systems are studied, which can be applied to designing
stable discrete control system as well as stabilizing a given unstable control system. 相似文献
12.
Pham Huu Anh Ngoc 《Numerical Functional Analysis & Optimization》2013,34(6):739-751
By a novel approach, we get explicit robust stability bounds for positive linear differential systems subject to time-varying multi-perturbations and time-varying affine perturbations. Our approach is based on the celebrated Perron-Frobenius theorem and ideas of the comparison principle. An example is given to illustrate the obtained results. 相似文献
13.
采用了一类新型积分等式,研究了具有非线性扰动的线性多时变时滞系统的时滞相关鲁棒稳定性问题,并推广得到一般的时滞相关-时滞变化率无关的鲁棒稳定性条件.数值实例表明,稳定性条件的保守性也有所减少. 相似文献
14.
A system-theoretic framework for a wide class of systems II: Input-to-output stability 总被引:1,自引:0,他引:1
Iasson Karafyllis 《Journal of Mathematical Analysis and Applications》2007,328(1):466-486
In this work characterizations of the notion of Weighted Input-to-Output Stability (WIOS) for a wide class of systems with disturbances are given. Particularly, for systems with continuous dependence of the solution on the initial state and the input, the WIOS property is shown to be equivalent to robust forward completeness from the input and robust global asymptotic output stability for the corresponding input-free system. 相似文献
15.
This article presents a new approach to robust quadratic stabilization of nonlinear stochastic systems. The linear rate vector of a stochastic system is perturbed by a nonlinear function, and this nonlinear function satisfies a quadratic constraint. Our objective is to show how linear constant feedback laws can be formulated to stabilize this type of stochastic systems and, at the same time maximize the bounds on this nonlinear perturbing function which the system can tolerate without becoming unstable. The new formulation provides a suitable setting for robust stabilization of nonlinear stochastic systems where the underlying deterministic systems satisfy the generalized matching conditions. Our sufficient conditions are written in matrix forms, which are determined by solving linear matrix inequalities (LMIs), which have significant computational advantage over any other existing techniques. Examples are given to demonstrate the results. 相似文献
16.
Both hybrid dynamical systems and impulsive dynamical systems are studied extensively in the literature. However, impulsive hybrid systems are not yet well studied. Nonetheless, many physical systems exhibit both system switching and impulsive jump phenomena. This paper investigates stability and robust stability of a class of quasi-linear impulsive hybrid systems by using the methods of Lyapunov functions and Riccati inequalities. Sufficient conditions for stability and robust stability of those systems are established. Some examples are given to illustrate the applicability of our results. 相似文献
17.
E. K. Boukas 《随机分析与应用》2013,31(4):719-732
Abstract This article deals with the class of uncertain stochastic hybrid linear systems with noise. The uncertainties we are considering are of norm bounded type. The stochastic stabilization and robust stabilization problems are treated. Linear matrix inequality (LMI)-based sufficient conditions are developed to design the state feedback controller with constant gain that stochastically (robust stochastically) stabilizes the studied class of systems. Our results are mode independent and require only the complete access to the state vector. Numerical examples are given to show the effectiveness of the proposed results. 相似文献
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时滞依赖型中立系统的鲁棒稳定性分析 总被引:3,自引:0,他引:3
研究了一类不确定中立型系统的时滞依赖稳定性问题.利用基于LMI正定解的存在性,给出了一个新时滞依赖型稳定性判据,相比于已有文献本文具有低的保守性.最后通过数值算例验证了本文得到的结论的正确性和有效性. 相似文献