充分条件

At the same time, the AH-stability of θ-methods for the linear delay algebraic-differential equation is derived.

在对线性延迟微分代数方程θ-方法的AH-稳定性的研究中，给出了方程解析解渐近稳定的一个充分条件。

In this paper, the completeness of no endpoint dense ordered set is proved by Robinson method. And the sufficient conditions are given to prove the completeness of a theory from Robinson method.

文章利用Robinson判别法证明无端点稠密有序集是完全理论，并由Robinson判别法得到了一个理论是完全理论的充分条件。

These two problems are converted to mathematical problems of solving some matrix inequalities and Riccati equations which are dependent on the time delays.

它们的可解充分条件可以化为与时滞相关的矩阵不等式和 Riccati方程的形式。

By using differential game principle, two problems are dealt with. First, the H〓 state feedback controller design.

并利用这一结果，把基于观测器的H〓输出反馈设计的可解充分条件化为了LMI。

This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear second-order differential equations with p-Laplacian operator .

利用锥拉伸与锥压缩不动点定理，研究一类具 p-Laplace算子的二阶微分方程的三点边值问题单调正解的存在性，给出了单调正解存在的充分条件，并确定了解曲线的凹凸性。

In this paper, we provide a necessary condition and several sufficient conditions for a digraph to have a pair of disjoint quasi-kernels.

在这篇文章中，我们给出了一个有向图有一对不相交的准核的一个必要条件和若干充分条件。

The authors have obtained the sufficient conditions for a locally in-semicomplete digraph to be traceable under degree-constrained condition.

得到了局部内半完全有向图可迹的一个度限制下的充分条件。

At last the necessary and sufficient condition of true dilation and true erosion are discussed.

证明了真膨胀的充要条件与真腐蚀的充分条件。

The system parameters are determined by optimizing an output-error cost function. To deal with the non-uniqueness of the fully parameterized state-space system, a projected gradient search algorithm is presented by restricting the update of the parameters to the tangent space to the manifold of observationally equivalent state-space systems. The sufficient condition to employ L-M algorithm for optimizing parameters is also introduced. The proposed hierarchical optimization identificationmethod includes two steps: First, the parameter search direction is determined by the proposed adaptive L-M projected gradient approach; Second, the optimum step size is computed according to a line search method.

通过极小化输出误差目标函数获得了系统参数估计；提出了正交梯度搜索方法用于解决系统参数的非唯一性问题，正交梯度搜索的本质是在输入-输出等价类相切平面的正交垂空间更新系统参数；给出了用 L-M 算法进行参数优化的充分条件；提出的系统参数递阶优化辨识方法包括两步：首先用给出的自适应 L-M 算子正交梯度方法确定参数优化方向；其次由一维搜索方法计算最佳步长。

Theorem （convergence Theorem , Dirichlet Condition

定理（收敛定理，狄利克雷充分条件）设是周期为的周期函数，如果它满足

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。