时滞

In this project, the stability of a class of complex dynamical system with infinite dimensions is investigated. The dynamical systems are described by the infinite differential equations with time delays. The comparison principle of the stability for the infinite dimension system is obtained.

本项目研究一类以无限个具有时间滞后的常微分方程关联而成的复杂动力系统的稳定性，建立了这类无限维系统中的比较原理，得到了无限维比较系统的稳定性条件和比较系统的集结方法，建立了无限维复杂时滞系统稳定性分析的矢量Liapunov方法。

For the some classes of neural networks with time delays, by constructing proper vector Liapunov functions and nonlinear integro-differential inequalities involving both variable delays and unbounded delay, using matrix theory, sufficient conditions for absolute exponential stability are obtained.

对于几类具有变时间滞后和无穷时滞的人工神经网络，利用矢量Liapunov函数法，得到了的神经网络平衡点指数稳定的充分条件。

First, a new integral inequality for quadratic terms is established by using the Park inequality. Next, the integral inequality in combination with the Lyapunov-Krasovskii functional method is used to derive a new delay dependent sufficient condition based on LMI which can guarantee that the closed-loop system is not only internal asymptotically stable but also with the prescribed H-infinity performance via the slow subsystem's memoryless state feedback.

首先利用Park不等式建立了一个基於二次型项的积分不等式，然后利用Lyapunov-Krasovskii泛函方法，获得了系统经慢子系统的无记忆状态反馈后不仅内部稳定，而且具有给定的H性能的，基於LMI的时滞相关充分条件。

The axisymmetric compressor characteristic and the reciprocal time-lag parameters of blade passage have crucial effect on the recoverability of compression systems.

而且压气机的轴对称特性和反映压气机内气体惯性、粘性等时滞影响的α参数等对压缩系统退出旋转失速流型的滞后性有比较大的影响。

To solve the problem of robust stability test of the systems, we develop a 2-D algebraic test for stability of time-delay systems with an edge test set based on Kharitonov vertex polynomials.

为解决这一类系统的鲁棒稳定性问题，我们提出时滞系统棱边鲁棒稳定性的2-D代数检验，该检验基于由Kharitonov端点集合构造的棱边集合。

The problem of observer-based robustly stable controller is studied for time-delay systems with a class of nonlinear uncertainty.

研究了一类具有非线性不确定性时滞系统基于状态观测器的鲁棒稳定控制器的设计问题。

This is different from previous researches, in which long-distance founder effect is the main force of phylogeography of rotifer population.

各湖泊隔离年代比较短，不同湖泊轮虫种群之间扩散强度大，轮虫休眠卵库的存在，以及近几十年来各湖泊环境条件变化可能是造成"有时滞基因流"产生的原因。

By using cross-iteration technique and the Schauder fixed point theorem, the existence theorem of travelling wave solutions of this system is established.

针对反应项的不同单调性，引进交互迭代格式，利用Schauder不动点定理建立了行波解的存在性定理，并将所得结论应用到时滞竞争系统。

In chapter 6, we discussed the wavefront solution of a kind of lattice differential equation which derives from diverse fields. We obtained the wavefront solution by using sup-subsolution iteration when the coupled functions are quasimonotone, and by applying Schauder fixed point theorem, we also obtained the wavefront solution when the coupled functions have a different quasimonotone property.

在第六章中，我们对一类从实际问题中抽象出来的二阶时滞格微分方程的行波解进行了讨论，用单调迭代的方法讨论了耦合函数具有拟单调性时行波解的存在性，用不动点的方法讨论了耦合函数具有指数拟单调性时行波解的存在性。

Chapter 2 discuss firstly the local existence of solutions for a class of abstract functionalintegro-differential equations with unbounded delay by Schauder's fixed point theorem, then byintroducing an inequality condition and applying the continuity property of solutions it obtainsthe global existence of the solutions.

第二章先利用Schauder不动点定理讨论一类具有无限时滞抽象泛函积分微分方程解的局部存在性，然后引入一不等式条件并利用解的延拓性质获得了解的整体存在性

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新