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The uniform bounded stable condition of the residual and its to nonlinear perturbations are proved by using Lyapunov function and uniform bounded lemma.

并利用Lyapunov函数和一致有界引理证明了故障检测残差信号的一致有界稳定条件和对非线性扰动的鲁棒性。

In this paper, we discuss uniform boundedness and uniform ultimate boundedness of differential systems with infinite delay.

研究了非线性无穷时滞微分系统解的一致有界性和一致最终有界性。

And the sufficient conditions for uniform boundedness and uniform ultimate boundedness are obtained respectively.

分别得到了一致有界和一致最终有界的充分条件。

At last the results have been applied to the tracking problem of a class of mechanical systems with discontinuous friction term. Chapter 3 mainly deals with uniformly ultimate boundedness of a class of nonautonomous systems with discontinuous right-hand sides and corresponding perturbed systems (in the sense of Filippov solutions). The definitions of globally uniformly strongly ultimate boundedness and globally uniformly weakly ultimate boundedness of discontinuous systems and the definition of globally equiuniformly strongly ultimate boundedness of corresponding perturbed systems are presented firstly.

首次给出不连续系统全局强一致最终有界、全局弱一致最终有界的定义,以及针对于扰动系统的全局强等度一致最终有界性的定义,并基于非光滑的Lyapunov函数得到了不连续系统全局一致强、弱最终有界的Lyapunov定理和扰动系统全局强等度一致最终有界性的Lyapunov定理。

Consisting of 3 Chapters, the Paper mainly includes the following contents: Chapter 1 of Introduct on presents the significance of extending uniform boundedness principle and elso reviews one hundred years development of uniform boundedness principle iind the work done by people in this aspect; Chapter 2 mainly introduce some preparatory knowledge including definitions of dissecting operators, absorbing operators, equicontinuity and some relative examples; In Chapter 3, We discuss the new researching results of equicontinuity principle,uniform boundedness principle and Banach-Steinhaus type theorem .

本文共分三章,主要内容如下:在第一章绪论中说明了推广一致有界原理的意义;回顾了已知一致有界原理一百多年来的发展及人们在此方面所做的工作。在第二章中主要介绍了一些预备知识,其中包括:解剖算子、吸收算子、等度连续的定义并举了一些相关的例子。

The tracking error is uniformly and ultimately bounded in the presence of initial error and bounded modeling error.

使得对于存在初始误差以及模型误差有界的情况跟踪误差一致终值有界。

A sufficient condition is derived to ensure that the switched nonlinear systems are uniformly bounded and uniformly ultimate bounded.

给出了无激励非线性切换系统一致有界和一致最终有界的充分条件。

By Lyapunove method, we obtain some sufficient conditions for solutions uniformlybounded and uniformly ultimate bounded.

然后,为了应用这些结果,利用Lyapunov泛函方法,获得了这些方程解的一致有界与一致最终有界的充分条件。

Under the condition of non-vanishing perturbation, sufficient conditions for guaranting the uniformly boundness and uniformly ultimate boundness of system's solution are derived.

首先在非零扰动情况下,利用平均滞留时间的方法给出保证切换系统一致有界或一致终极有界的条件以及最终边界。

The results in this chapter improve and generalize some of the earlier foundings of IFDE with finite delay and infinite delay, therefore the applications are more extensive.In chapter two, we study the boundedness of system (1) mainly by the method of several Lyapunov functions containing partial components coupled with Razumikhin technique.

在第二章中,我们主要用含部分变元的Lyapunov函数和Razumikhin技巧得到了系统(1)的一致有界性和一致最终有界性定理。

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