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The problem of linear neutral delay system is always the focus of the research in current control and system theory.

时滞系统的分析和综合一直是控制理论与控制工程领域中研究的一个热点问题。

By employing the local Lipschitz condition and Picard sequence, the local existence-uniqueness of solutions of stochastic functional differential equations of Ito-type is firstly obtained. Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition. Finally, by establishing some delay differential inequalities and using properties of H_m-functions, a stochastic version of Wintner theorem and the global existence-uniqueness of solutions of stochastic functional differential equations of Ito-type are given. The results generalize the earlier publications.

首先,利用局部Lipschitz条件和Picard序列,获得了伊藤随机泛函微分方程解的局部存在唯一性;其次,利用随机分析技巧和拟有界条件,建立了伊藤随机泛函微分方程解的延拓定理;最后,通过建立一些时滞微分不等式和利用H_m-函数的特性,得到了Wintner定理的随机版本和伊藤随机泛函微分方程解的全局存在唯一性,推广了已有的一些结果。

This paper studies chaos synchronization problem based on the general Lur'e systems by using a time-delay feedback technique.and the findings have improved some research results in recent literatures.

本文采用时滞反馈控制技术研究了一般 Lur'e系统的混沌同步问题,改进了最近有关文献的结果。

By structuring a Lyapunov function, and using matrix norm , the stability of the time-delay uncertain systems is analysed with the result of some significant sufficientconditions.

通过构造适当的Lyspunov函数和利用矩阵范数,对时滞扰动多变量系统的鲁棒稳定性进行了较为详细的分析,得出了几个较有意义的充分条件

Some methods for dealing with the stability problem has presented and these methods include: Lyapunov function, differential inequality, matrix norm and measure, Razumikhin theorem method etc. The results of stability for these systems are derived by using these methods. This paper may be summarized as follows.

本文考察了区间Lurie型控制系统与不确定时滞系统的稳定性问题,给出了判定系统稳定的一些处理方法,这些方法包括:Lyapunov函数法、微分不等式法、矩阵范数与测度法、Razumikhin定理等方法,并且应用这些方法得到了系统稳定的判别条件。

In this paper, a neural network model with time-varying delays is proposed to solve a class of maximin problems by employing the saddle point theorem and projection theory.

通过鞍点定理和投影理论,提出了一个解二次极大极小问题的变时滞神经网络。

In this paper, oscillations for the system of continuous cultivation of microorganism with delay are studied.

本文主要建立了具有时滞的微生物连续培养模型,并进行了分析和计算。

With the monotone increasing and monotone decreasing ofψ-functions, we obtained some useful conclusions.

我们同样将ψ函数引入无限时滞的中立型随机系统,得到更普通的矩估计和轨道估计,在ψ函数单调减少和单调增加两种情况下,分别给出了方程解的矩稳定性和矩有界性,以及方程解的轨道稳定性和轨道有界性。

Under some monotonicity conditions, we give a positive answer to this problem.

在第四章中,我们利用变分方法和对偶技巧最终得到了带时滞正倒向随机控制系统的最大值原理。

In addition, the proposed stability criteria do not require the monotonicity of the activation functions and the derivative of a time-varying delay being less than 1, which generalize and improve earlier methods.

此外,所得到的结论不需要激励函数的单调性且变时滞的导函数只要有上界结论就可以成立,这拓展和发展了现有的一些结论。

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