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By using the difference inequalities, the asymptotic behavior of solutions to forced nonlinear neutral difference equations is studied.

利用差分不等式研究了具有强迫项的非线性中立型差分方程解的渐近性,得到了方程的解趋于零的充分条件

Under suitable conditions,using the theory of differential inequalities,the existence and asymptotic behavior of solution for the boundary value problems are studied.

适当的条件下,利用微分不等式理论,讨论了原边值问题解的存在性和渐近性。。

Basing on this, the formal asymptotic expansion of solution for the original problem is obtained. Finally, under suitable conditions, existence and its uniform validity of asymptotic expansion of solution for the initial boundary value problem are proved,by using theory of differential inequalities.

在这基础上得到了原问题解的形式渐近展开式;最后,在适当的条件假设下,利用微分不等式理论,证明了原初边值问题解的存在性及其渐近展开式的一致有效性。

Under suitable conditions,and by using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.

在适当的条件下,利用微分不等式理论,讨论了该边值问题解的存在性和渐近性态,给出了渐近估计式:u0-Ui0-u0(0)+O≤u≤u0+O,0≤x≤1。

By means of generalized Lyapunov function and linear matrix inequality,the asymptotical stability with zero solution is studied for the system,and a sufficient condition is given such that the system is asymptotically stable with zero solution and also a H∞ norm constraint .

针对非线性离散广义系统研究了状态反馈H∞控制器的设计问题,利用广义Lyapunov函数和线性矩阵不等式,首先对系统的零解渐近稳定问题进行了研究,并在此基础上给出了系统的零解渐近稳定且具有H∞范数约束的充分条件,之后设计了状态反馈H∞控制器,使闭环系统具有同样的性能,最后给出了数值算例说明本文结论的有效性和可行性

A sufficient condition for the systems to be asymptotically stable, which is dependent on whether LMI is feasible, is presented.

给出了以线性矩阵不等式组的形式表示的该控制器存在的充分条件。

Based on an actuator failure model with continuous gain,the consistency theory and condition between regional pole index and H∞ index are given by using the bounded real lemma and linear matrix inequality,and the ranges of consistent indices are analyzed.

基于连续型执行器故障模式,利用有界实引理和线性矩阵不等式,给出了区域极点指标与H∞指标约束相容性理论及条件,并且分析了区域极点指标相容的H∞指标的取值范围。

First, we establish an energy inequality in the case that no boundary conditions are imposed, and obtain a uniqueness result in the Cauchy problem for the model.

首先,对没有任何边界条件的方程给出一个能量不等式,并且获得Koiter壳的一个Cauchy问题的唯一性结果。

The problem of absolute stability of Lurie nonlinear systems with time-delay is investigated by using aug-mented Lyapunov functional combined with the free-weighting matrix approach.

利用增广的Lyapunov泛函结合自由权矩阵方法,对非线性Lurie时滞系统的绝对稳定性问题进行了研究,得到了系统基于线性矩阵不等式的具有更低保守性的时滞相关绝对稳定条件。

The sufficient conditions for the stability of the fuzzy decentralized system with time-delay are proposed by using Lyapunov function combined with linear matrix inequalities.

应用李亚普诺夫函数法和线性矩阵不等式方法给出了模糊分散控制系统稳定的充分条件。

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