时滞不确定中立型分布参数系统的稳定性

针对一类时滞不确定中立型分布参数系统,研究该系统基于线性矩阵不等式方法的稳定性判据.基于线性矩阵不等式(LMI)方法,通过构造一系列适当的李雅普诺夫函数,利用散度定理和矩阵不等式技术,给出了系统是渐近稳定的充分条件.充分条件要求满足两个线性矩阵不等式,而线性矩阵不等式容易利用Matlab中的LMI工具箱进行求解.最后,数值算例验证了该方法的有效性.     

含分布时滞的不确定中立系统鲁棒稳定之时滞分解法

研究了一类同时具有离散与分布时滞的不确定中立型系统的鲁棒稳定性问题,基于时滞分割方法建立一种新的时滞相关鲁棒稳定性条件.通过把时滞区间非均匀的分解成N份,针对不同的分割区间构造合适的Lyapunov-Krasovskii(L-K)泛函,结合积分不等式处理方法建立了基于线性矩阵不等式(LMI)形式的时滞相关条件,该方法不包含任何的模型变换和自由权矩阵技术,减少了理论与计算上的复杂性,最后的数值算例仿真表明,该方法扩大了系统稳定的时滞上界范围,相比已有结论具有更低的保守性.     

具有离散时滞和分布时滞的中立型时滞系统的鲁棒稳定性

本文研究了具有离散时滞和分布时滞的不确定中立型系统的鲁棒稳定性的问题,考查了可能随时间变化的具有范数有界的不确定性.在对Lyapunov-Krasovskii泛函求导数时,不进行放大估计,而通过引入恰当的零项,构造线性矩阵不等式,从而获得基于LMI的时滞相关稳定的新判据.最后的数值例子说明了所得的结论有效性.     

基于积分不等式法的区间变时滞不确定系统鲁棒稳定性研究

研究了一类区间变时滞不确定系统鲁棒稳定性问题.在不确定性为泛数有界的情况下,通过构造包含简单积分项和多重积分项的Lyapunov-Krasovskii泛函,结合新的积分不等式,在未忽略有用项的前提下,利用其更紧的界定条件来处理交叉项,从而建立了基于线性矩阵不等式(LMI)形式的时滞相关稳定性新判据.方法不涉及自由权矩阵技术和任何模型变抱,减少了理论和计算上的复杂性.数值算例表明,所提出的判据是有效的,和一些已有文献相比具有更低的保守性.     

线性广义系统时滞相关渐近稳定的一个新判据

研究线性广义时滞系统时滞相关的渐近稳定性问题.利用Lyapunov-Krasovskii泛函理论和自由权矩阵方法,得到严格线性矩阵不等式(LMI)形式的时滞相关渐近稳定新判据,并没有采用模型变换和界定交叉项方法.最后通过数值算例验证新判据的有效性.     

一类中立型时滞互联系统的记忆反馈控制及稳定性条件

针对一类中立型时滞互联系统,当滞后时间对系统影响较小时,研究其记忆反馈控制问题.设计记忆反馈控制器,给出新的李雅普诺夫函数,结合自由加权矩阵及牛顿-莱布公式对系统稳定性进行分析,并应用线性矩阵不等式(LMI)给出中立时滞互联系统稳定的充分条件.数值仿真验证了所提控制方法的可行性.     

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)

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.     

交互式凸组合方法的不确定变时滞中立型系统的鲁棒镇定

针对带有时变有界的不确定中立型时滞系统进行鲁棒控制研究.基于线性矩阵不等式法和交互式凸组合方法,通过构造恰当的李雅普诺夫泛函,适当分割时滞区间,结合积分不等式引理,减少了不确定时变时滞中立型系统相关判据的决策变量,给出闭环系统渐近稳定的充分条件.数值例子验证了该方法的有效性.     

一类多时滞中立型广义系统的稳定性判据

研究了多时滞的中立型广义时滞系统时滞相关的渐近稳定性问题,利用Lyapunov-Krasovskii泛函,等价模型转换方法和自由由权矩阵的方法,给出了系统时滞相关渐近稳定的充分条件,所给的判据是线性矩阵不等式形式,可方便运用Matlab工具箱求解,最后用一实例验证了方法的有效性。     

带有时变时滞的中立型神经网络的鲁棒指数稳定性

研究一类带有时变时滞的中立型神经网络的全局指数稳定性问题.通过构造LyapunovKrasovskii泛函并使用线性矩阵不等式方法,建立了保障时滞神经网络全局指数稳定的新的时滞相关充分条件.这些条件用线性矩阵不等式表达.进一步,文章对一类不确定时滞中立型神经网络给出了鲁棒全局指数稳定的新判据.     

Improved results on robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations

This paper considers the problem of robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Two type uncertainties such as nonlinear time-varying parameter perturbations and norm-bounded uncertainties have been discussed. Based on the new Lyapunov–Krasovskii functional with triple integral terms, some integral inequalities and convex combination technique, a new delay-dependent stability criterion for the system is established in terms of linear matrix inequalities (LMIs). Finally, four numerical examples are given to illustrate the effectiveness and an improvement over some existing results in the literature with the proposed results.     

Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations

This paper is concerned with the problem of stability of neutral systems with interval time-varying delays and nonlinear perturbations. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties. A new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weighting matrices. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.     

中立型Lurie控制系统的时滞相关鲁棒绝对稳定性判据

本文讨论了具有时滞控制的中立型Lurie控制系统的与时滞相关鲁棒绝对稳定性问题.其方法是Lyapunov泛函方法,在处理V函数的导数时,没有进行放大估计,而通过引入一些恰当的0项,构造多个LMI，从而获得基于多个LMI的时滞相关稳定的充分条件和鲁棒绝对稳定的充分条件.最后用数值例子说明其所得结论的有效性．     

Novel robust stability criteria for uncertain systems with time-varying delay

This paper is concerned with the delay-dependent stability and robust stability criteria for linear systems with time-varying delay and norm-bounded uncertainties. Through constructing a general form of Lyapunov–Krasovskii functional, and using integral inequalities, some slack matrices and newly established convex combination condition in the calculation, the delay-dependent stability criteria are derived in terms of linear matrix inequalities. Numerical examples are given to illustrate the improvement on the conservatism of the delay bound over some reported results in the literature.     

New delay-dependent robust stability criterion for uncertain neutral systems with time-varying delay and nonlinear uncertainties

This paper investigates the robust stability of uncertain neutral system with time-varying delay and nonlinear uncertainties. By using Lyapunov method and linear matrix inequality technology, a new delay-dependent stability criteria is obtained and formulated in terms of linear matrix inequalities (LMIs) which can be easy to check the robust stability of the considered systems. Numerical examples are given to indicate significant improvements over some existing results.     

Stability analysis for a class of neutral systems with mixed delays and sector-bounded nonlinearity

This paper deals with the problem of absolute stability and robust stability of a class of neutral systems with sector-bounded nonlinearity and mixed time-varying delays. Some new delay-dependent stability criteria are presented based on Lyapunov stability theory and formulated in terms of strict linear matrix inequalities (LMIs). Neither model transformation nor bounding technique for cross terms is required in obtaining the stability conditions. Since both the neutral- and discrete-delays are taken into account, the obtained criterion is less conservative than the previous ones, which is illustrated by numerical examples.     

Stability analysis for neutral systems with mixed delays

Relationships between system states contained in the neutral equation are used to address the delay-dependent stability of a neutral system with time-varying state delay. Using linear matrix inequalities, we present a new asymptotic stability criterion, and a new robust stability criterion, for neutral systems with mixed delays. Since the criteria take into account the sizes of the neutral delay, discrete delay and the derivative of discrete delay, they are less conservative than those produced by previous approaches. Numerical examples are presented to demonstrate that these criteria are indeed more effective.     

Improved delay-dependent stability criteria for continuous system with two additive time-varying delay components

This paper investigated the problem of improved delay-dependent stability criteria for continuous system with two additive time-varying delay components. Free weighting matrices and convex combination method are not involved, which achieves much less numbers of linear matrix inequalities (LMIs) and LMIs scalar decision variables. By taking advantage of integral inequality and new Lyapunov–Krasovskii functional, new less conservative delay-dependent stability criterion is derived. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.     

An improved robust delay-dependent stability criterion for genetic regulatory networks with interval time delays

This paper proposes an improved robust delay-dependent criterion for stability of genetic regulatory networks with delays which vary in an interval. A modified Lyapunov-Krasovskii functional is used to derive a sufficient condition in terms of linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. The derived stability criterion is less conservative than ones in the literature. A numerical example and simulation results show the effectiveness of the proposed method.     

Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays

This paper deals with the problem of stability analysis of non-linear singular systems with Markovian jumping parameters and mode-dependent interval time varying delays. New delay-dependent stability conditions are derived in terms of linear matrix inequalities (LMIs) by constructing a mode-dependent Lyapunov–Krasovskii functional and using some integral inequalities. Numerical examples are presented to illustrate the usefulness and less conservativeness of the proposed theoretical results.