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Conditional stability.

反问题,边值问题,不适定问题,偏微分方程,积分方程,条件稳定性,数值分析

Experimental results show the recognition rate of the method is 95%for a known expresser and 72% for a novel expresser. Aiming at the shortcomings of optical flow technique,two improved optical flow algorithms are presented.One way is to introduce forward and backword constraint eqution and Hessian matrix of optical flow equation is computed.The well- posedness of each point of local neighbourhood is examined and the weight of Lucas-Kanade's method is defined as the reciprocal of the conditioning number of its Hessian Matrix.

3针对传统光流法的缺点,分别提出了两种不同的改进方法:其一为引入前向-后向光流方程,计算其Hessian矩阵,把Hessian矩阵条件数的倒数作为Lucas-Kanade光流法的加权阵,可有效消除局部邻域中不可靠约束点,同时提高基本约束方程解的稳定性;其二为针对传统光流法只适用于刚体运动的特点,在扩展约束光流方程的基础上引入了div-curl样条函数作为扩展光流约束方程的附加约束条件,给出了一阶和二阶div-curl样条约束下光流的数值解。

Secondly, the characters of the conidiophore, the extending mode of theconidiogenus cells and conidiogenous pattern are key to distinguish thesefungi at genus level.

嗜热子囊菌光孢变种在45~50℃高温下生长旺盛,产生的纤维素酶在高温条件下保持较高的活力和热稳定性。

The stability of the system was discussed by the continuity of solution and the condition of normal solution, which was synchronously proved and analyzed by an example.

利用通解的连续性及正规解条件,讨论了系统在啮合参数激励下的稳定性,并用算例进行了证明和分析。

Also, by using exponential dichotomy, contraction map theorem and matrix theory, some sufficient conditions are obtained to ensure the existence and global exponential stability of almost periodic solution for MAM neural network with distributed delays.

利用矩阵的谱半径、指数二分法结合运用压缩映射原理获得了分布时滞多向联想记忆神经网络模型概周期解的存在性,并在相同条件下证明了概周期解的全局指数稳定性。

A lot of test runs of the program shows that it is stable and convergent.

通过多种条件的试算,证明了程序的稳定性。

A fixed point of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.

本文首先介绍了几类离散神经网络模型的由来及其研究概况,利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性,利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。

In this thesis, we firstly introduce several class of discrete-time neural network models and the research progress of the neural networks. By Schauder fixed-point principle we prove the existence of an equilibrium (i.e. a fixed point) of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.

本文首先介绍了几类离散神经网络模型的由来及其研究概况,利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性,利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。

As to problem of time varying delay existing in NCSs, a time-varying model including certain system and uncertain system are constructed firstly, and then stability and stabilization of these systems are discussed based on time-delay system theory, cone convex optimization theory and free weighting matrices approach. Conditions of time-dependent stability and stabilization with less conservative are given in the form of linear matrix inequalities.

针对网络时滞问题建立了时变时滞NCSs的模型(包括确定系统和不确定系统),然后利用时滞系统理论、锥补线性化方法和自由权矩阵方法研究了NCSs的稳定性和镇定性问题,并基于LMIs形式给出具有较小保守性的时滞相关稳定和镇定条件。

At the same time, combined the result of the TSP for the country rock mass of the tunnel, the stability analysis and preliminary appraisal of the country rock mass are carried out here.

同时,结合TSP手段对隧道围岩的探测成果,对隧道区域的工程地质条件和围岩稳定性进行了分析和初步评价。

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This one mode pays close attention to network credence foundation of the businessman very much.

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