充分条件

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。

In Chapter four, the stability problem of the nonlinear open-loop control system is discussed by the concept of input-output stability. The L〓 stability is defined, the relationship between the L〓 norm of output variable and the input variable is proven firstly, and the sufficient condition for the stability of open-loop system , the H〓 norm of the n-th order frequency response function decreasing by n!

本章给出了非线性控制系统L〓稳定性的定义，首次严格证明了输出变量的L〓范数与输入变量的L〓范数之间的一个重要的关系式，并得到了一个开环系统L〓稳定性的充分条件，即n阶广义频率响应函数的范数〓应按n！

The finite-gain stability of the controller was proved under the assumption that the kernel function was local Lipschitz in this open-loop inverse control system. The sufficient condition for that Gaussian kernel function to the local Lipschitz of either variable was given. The stability of the whole system was also proved under some proper assumptions.

针对此开环逆控制系统，在核函数为局部Lipschitz的前提下，证明了控制器是有限增益稳定的，并给出Gaussian核函数对任一变量的局部Lipschitz性的充分条件，在一定合理的假设下给出了控制系统的稳定性结论。

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。

The oscillation of neutral difference equation with continuous arguments is discussed.

讨论具有连续变量的中立型差分方程，建立了该方程振动的若干充分条件

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。

Finally we consider the half-linear neutral delay dynamic equation A comparison result for the oscillation between the equation and a first order delay dynamical inequality is established.

在本章最后，考虑半线性中立型时滞动力方程建立了方程的振动性与一个一阶时滞动力不等式振动性的比较结果，在此基础上，给出了方程所有解振动的几个充分条件。

Some sufficient conditions for oscillation of solutions of the systems are obtained.

建立了系统振动的若干充分条件，并且举例说明。

We obtained the sufficient conditions to solve the H〓-state feedback and output feedback control.

得到了系统可实现状态反馈及输出反馈H〓-控制的充分条件，给出了控制器的显式表达形式。

We study the properties of $BR_0$-algebra and the total complication triple I method on complete $BR_0$-algebra, and we apply the results to $R_0$-Unite interval $\overline{W}$. Not only we have simplified the proof of the results of $R_0$-type triple I method on $R_0$-Unite interval $\overline{W}$, but also we make the proof to combine with the formal deductive system for fuzzy propositional calculus. This work also explains that the $R_0$-type triple I method is a matching fuzzy inference with $B{\cal L}^*$ system.

研究了基础$BR_0$-代数的性质和基于完备基础$BR_0$-代数的全蕴涵三I算法，对一般蕴涵算子给出了三I算法解存在的一个充分条件，并将结果应用于$R_0$-单位区间$\overline{W}$，不但极大的简化了$R_0$-单位区间$\overline{W}$的$R_0$-型$\alpha$-三I算法结果的证明，而且使其证明过程与相应的模糊命题演算系统结合起来，说明了$R_0$-型三I算法是与$B{\cal L}^*$系统相匹配的模糊推理方法。

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！