时滞

There are two methods used to prove the stability of nonlinear system with time-delay.

目前，有两种方法可以证明非线性时滞系统的稳定性。

Based on the recent situation and trend of the nonlinear systems, we present some recent developments and important problems in stochastic dynamics such as response, bifurcation , chaos, synchronization and control.

摘要介绍了非线性随机动力学的响应、分岔、混沌以及混沌同步与控制的研究现状和发展趋势，探讨了随机复动力系统、时滞系统、逼近方法和数值方法研究中的若干问题及其进展。

A time domain method was proposed for analyzing the vehicle-bridge stochastic vibration excited by multidimensional time-delay nonwhite rail irregularities .

提出时滞多维非白噪声轨道不平顺激励下车辆－桥梁垂向随机振动的时域分析方法。

By adapting the existed numerical methods for ordinary and delay differential equations, and matching certain suitable numerical quadrature formulas, Rosenbrock methods are constructed for delay integro-differential equations, the stability criteria of the methods are derived.

通过改造现有常及离散型延迟微分方程的数值方法，并匹配以适当数值求积公式，构造了求解时滞积分微分方程的Rosenbrock方法，导出了其稳定性准则。

Obsoleteness;of principle;generalization;openness

时滞性；原则性；概括性；开放性

Finally, an example is given to illustrate the influence of the impulse on population dynamics by numerical simulation.

第二节利用k-集压缩理论研究脉冲时滞Logistic模型正周期解的存在性，给出正周期解存在的充分条件。

This paper has investigated optimal control for time-delay systems in the case that control energy is to be considered.

文中对时滞系统在控制能量存在约束时的最优控制问题进行了探讨。

The quadratic optimal control problem of delay discrete-time linear system is proposed with quadratic performance index. It is transformed intoanother problem by using the Principle of Optimality. The direct expressions of theoptimal control sequence and performance index sequence are given by mathematicalinduction.

针对给定的二次型性能指标，提出了时滞离散系统线性二次最优控制问题，并利用最优性原理将该问题进行了转化，进而利用数学归纳法推出最优有记忆饱和控制序列及最优性能指标序列的直观表达式。

Some sufficient conditions for oscillation of neutral differential equation with positive and negative coefficients are obtained.

利用数学分析和不动点原理，研究了具有正负系数的中立型时滞微分方程的振动性，得到了方程所有解振动的充分条件。

Through creating a differential equation whose oscillation is equivalent to the impulsive equation, or considering the relation between impulsive points and delay, we get some sufficient conditions for the oscillation of the equation.

第二章讨论了二阶自共轭脉冲微分方程，通过建立与之振动性等价的微分方程，或考虑脉冲点与时滞间的关系，我们得出方程振动的一些充分条件。

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