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The problem of robustly asymptotic stability for a class of switched uncertain descriptor systems with time-delay is considered.

摘要研究了一类带有时滞的切换不确定广义系统的鲁棒渐近稳定问题。

Then, the optimal control and asymptotic stability are researched for delaydiscrete-time linear system.

其次,研究具有控制约束的时滞离散线性系统的最优控制及渐近稳定性问题。

So it is of great significance to cancel or attenuate the effect of exogenous disturbances, both in theory and practice.

因此,在具有时滞的离散不确定系统中,如何设计控制器消除或减小扰动对系统的影响,无论在理论上还是在实践中,都是很有意义的研究课题。

The asymptoticbehavior of two ecological systems and the unconditionally stability and oscillations in kinds of 4-order delay difference equations are investigated by using analysis method, constructing Lyapunovfunctions, the logarithmic norm, charateristic roots theory and the bifurcation theory. Here, theasymptotic properity includes the uniform persistence, the global attractability of the solutions,the asymptotic stability of the positive solution local or global and the oscillations of solutions.

本文利用定性分析的方法、比较原理、特征值分析法、对数范数、构造Lyapunov函数及分支理论等方法和理论,研究了两类生态模型解的渐近性及一类四阶时滞微分方程解的无条件稳定性,其中包含模型的一致持久生存性、正平衡态的全局吸引性、局部和全局渐近性以及解的振动性等问题。

This thesis is concerned with the existence of global attractor forreaction diffusion equation with delays.

本文研究含时滞的反应扩散方程全局吸引子存在性的问题。

By means of augmented Lyapunov functional and free-weighting matrix approach,a delay-dependent sufficient condition is presented,which can make the resulting closed-loop systems asymptotically stable and satisfy a prescribed H∞ norm-bounded constraint.

利用增广Lyapunov泛函并结合自由权矩阵方法,得到使得闭环系统鲁棒渐近稳定且具有给定的H∞性能的时滞相关充分条件。

Constant pressure water supply is a very important link in automatic monitoring system of water works. Because of the uncertainty of using water, the system is quite time-variant, non-linear, time-delay.

恒压供水压力控制系统是水厂自动监控系统中一个非常重要的环节,由于用户用水量的不确定性,因此它具有较大的时变性、非线性和时滞性。

Moreover, most delayed intelligent systems composed of neural networks or T-S fuzzy models can be depicted as SNNM for controller synthesis.

另外大多数包含神经网络或T-S模糊模型的时滞智能系统也都可以转化为SNNM的形式,以便于用统一的方法进行控制器的综合。

In this Chapter,by Floquettheory and the technique used in Chapter 4,it is solved that asymptotically almostperiodic solutions bifurcate from the periodic solution.

在本章我们只是考虑了一种特殊情况,即时滞等于周期T。这是对此类问题的一种研究尝试。

Finally, by using a topological global existence result, we give the global existence of bifurcated periodic solutions and it is found that the system exists always a nonconstant periodic solution after the second critical value of the delay.

通过使用一个拓扑的全局存在性结果,还给出了分支周期解的全局存在性。结果表明在时滞的第二个临界值以后,系统总是存在一个非常数周期解。

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