查询词典 sufficient condition

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。

However, to establish global convergence for these latter methods, one must enforce either sufficient decrease conditions (the Armijo-Goldstein-Wolfe conditions)or a fraction of Cauchy decrease condition - all of which rely on explicit numerical function values, as well as explicit approximations to the directional derivative at the current iterate.

但是，为了保证后面方法的全局收敛，必须有足够的减少条件（Armijo-Goldstein-Wolfe条件）或者部分柯西减少条件——它们全都依赖于外在的数值函数值，就和在当前迭代逼近方向导数一样。

Let f be a solution of the higher order differential equation, a sufficient condition for f belonging to the weighted Dirichlet space D or to the Bergman space L, respectively, is obtained.

设f是高阶微分方程的解，得到了f分别属于加权Dirichlet空间D和Bergman空间L的一个充分条件，并得到了f是不可容许解的一个充分条件。

In this paper, we also obtain a sufficient condition for the discreteness of spectrum of 2n-th order J-self-adjoint differential operators.

最后，本文还给出了2n阶J-自伴微分算子的谱是离散的一个充分条件。

We obtain sufficient condition such that a class of uncertain nonlinear system is robustly dissipative .

在分析不确定系统鲁棒耗散条件的基础上，给出了一类不确定非线性系统鲁棒耗散的充分条件。

In chapter 4, a sufficient condition for stability of time-delay T-S fuzzy systems subject to actuator saturation is first provided, and the problem of estimating the domain of attraction is also formulated.

第四章针对输入受约束的时滞T-S模糊系统，在系统参数确定的情况下，给出系统渐近稳定的充分条件，系统的吸引域的估计问题被转化为一个线性矩阵不等式形式的约束优化问题。

A sufficient condition that ensures the stability of the origin of the system is derived, and the domain of attraction may be enlarged by applying a fuzzy anti-windup compensator to the considered system.

构造了一个更一般的Lyapunov函数—模糊Lyapunov函数来分析系统的稳定性以及估计系统的吸引域，克服了寻求一个公共的正定矩阵P的困难，使用模糊Lyapunov函数得到的系统的吸引域估计保守性更小。

A sufficient and necessary condition for nonlinear continuous time associate memory neural networks to be locally exponentially stable is obtained, and a function is defined for characterizing the domain of attraction of equilibrium point.

讨论非线性连续联想记忆神经网络平衡点局部指数稳定的判定条件及平衡点指数吸引域的估计，得到了平衡点局部指数稳定的充要条件，并引入一个特征函数，可以判定平衡点的邻域是否为指数吸引域。

A sufficient and necessary condition for nonlinear continuous-time associate memory neural networks to be locally exponentially stable is obtained, and a unction is defined for characterizing the domain of attraction of equilibrium point.

摘要讨论非线性连续联想记忆神经网络平衡点局部指数稳定的判定条件及平衡点指数吸引域的估计，得到了平衡点局部指数稳定的充要条件，并引入一个特征函数，可以判定平衡点的邻域是否为指数吸引域。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。