充分条件

The problem of designing sliding mode control for linear systems with input and state delays is considered.

对含多面体不确定性的时滞系统，参数相关的Lyapunov函数，提出了时滞无关和时滞相关的鲁棒稳定的充分条件。

It expands Lebesgue characteristic of integrable function of Riemann through the definition of gather zero measure and builds up the theory of many integral calculus.

通过定义多维零测度集将可积函数的特征扩展到多维情形，同样统一了多维情形的充分条件，建立了多维情形的可积性理论。

The cost function of the systems is given in terms of integral quadratic function containing failure controls.

利用Lyapunov方法及线性矩阵不等式方法，得到系统存在可靠保性能控制器的充分条件和控制器的设计方法，并给出了系统的可保性能表达式。

By integral in mean and comparison theorem, boundednesses of consumer population and resources, as well as a sufficient condition for population's weak persistent in mean are given when the environment is with a small capacity.

利用积分均值法和比较定理，给出消费者种群和资源量的有界性，以及环境容量较小情形下种群弱平均持续生存的充分条件。

The stability of numerical methods for the linear Volterra delay integro differential equation was studied. A sufficient condition such that the implicit block θ-methods preserved the delay-independent stability of its exact solutions was obtained.

研究了线性中立型Volterra延迟积分微分方程数值方法的稳定性，给出了块隐式θ-方法保持系统解析解不依赖于延迟的稳定性质的一个充分条件。

Some conditions for weakly Persistence and extinction are obtained;In the second part, we respectively use C_h space and C_g space theorem to study the existence of periodic solutions of Lotka-Volterra equation with infinite delay, in the end we get the condition of the existense of periodic solutions and estimate the interzone of it.

第二部分利用相空间理论，分别以C_h空间和C_g空间为相空间研究了具有无限时滞的Lotka-Volterra方程周期解的存在性问题，给出了周期解存在的充分条件，并估计出了周期解的存在区间。

Several sufficient conditions for judgement of the invariant set and the attraction for the equations are obtained by using the properties of nonnegative matrices and some analytical methods.

对一类大型非线性偏泛函微分方程的渐近行为进行研究，利用非负矩阵性质和适当的分析技巧，建立了判断其不变集和吸引性的充分条件。

We discussed the positive invariant set,the exsistence and the stability of the equilibrium by the stability theory of ordinary differential equation and the conditions for the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium are obtained.

本文讨论了模型的正不变集，运用微分方程稳定性理论分析了模型平衡点的存在性及稳定性，得出了疾病消除平衡点和地方病平衡点的全局渐进稳定的充分条件。

This algorithm was realized by minimizing the invariant ellipsoid of the closed loop system. Some sufficient conditions dependent on the invariant set for the satisfaction of the time domain hard constraints were also derived.

在系统初始状态小于某个界的情况下，将性能输出的能量作为优化的性能指标，通过最小化系统的不变椭圆域来实现系统优化控制，同时得到依赖于该不变域的满足时域硬约束的充分条件。

In Chapter 1, we state some notions and results on the limit set and the attractor of Conley invariant set theory, and give some sufficent condtions for an invariant set to be a quasi-attractor.

总共分四章。第一章，简要介绍了C.Conley不变集理论中有关极限集，吸引子的概念和结果，并给出了判定不变集为拟吸引子的一些充分条件。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！