应用函数

The identified two orders models under three different load conditions are validated by step disturbance method and self-relation function method.

对所得三种不同负荷水平下的二阶离散型水轮机模型，应用阶跃扰动法和自相关函数法进行检验。

Viability Theory is applied to the optimal control problem for this class of hybrid dynamic time varying systems in this dissertation for the first time. And the statement about a characterization of the extended value functions as the unique lower semicontinuous solution to a Bensoussan-Lions type QVI is proved.

本文首次将生存理论应用到这一复杂系统的最优控制问题中来，得到了最优控制问题中的值函数是一类拟变分不等式唯一的下半连续解的重要结论。

Viability Theory is applied to the optimal control problem for switching time varying systems in this dissertation for the first time. The statement about a characterization of the extended value functions as the unique lower semicontinuous solution to a Bensoussan-Lions type QVI is proved.

本文首次将生存理论这一数学工具应用到有限时间切换时变系统的最优控制问题中，得到了最优控制问题的值函数是一类拟变分不等式唯一的下半连续解的重要结论。

Motivated by the newψfunctional stability,we can establish some new kinds of stabilities which are different from the exponential stability.With the help of semimartingale convergence theorem,stochastic calculous,moment inequality,Burkholder-Davis-Gundy inequality,Gronwall inequality etc.,we find that the product ofψfunction and the solutions of neutral equations will approach a nonempty set if some specific conditions are satisfied.

我们应用半鞅收敛定理、随机微积分的相关知识以及矩不等式、Burkholder-Davis-Gundy不等式和Gronwall不等式等技巧，得到中立型随机泛函微分方程的解与特定的"ψ函数"的乘积在一定的条件下将趋向某非空集合这一结论，并建立了该中立型方程的随机LaSalle型定理。

Much more operations have been used in protocols since the seventieth of the twentieth century, such as signature, hash etc.

随着二十世纪七十年代以来，各种密码算法已经大量应用于安全协议中，如签名、散列函数等。

In the study of the stochastic chaos in simple pendulum, the random Melnikov process is derived and the mean-square criterion is used to determine the threshold amplitude of the bounded noise excitation for the onset of the chaos or random chaos in the system. For the coupled simple pendulum and harmonic oscillator, the Melnikov function is used to determine the condition for the onset of chaos in the case of Hamiltonian perturbations. In the case of non-Hamiltonian perturbation, the generalized random Melnikov process and mean-square criterion are used to determine the threshold amplitude of the bounded noise for the onset of random chaos.

在随机混沌研究中，应用随机Melnikov过程的均方准则研究了单摆在有界噪声激励下发生混沌或随机混沌时有界噪声激励的临界幅值；对于耦合的单摆-谐振子系统，先用Melnikov函数研究了在哈密顿扰动下发生混沌的必要条件；然后用推广的随机Melnikov过程方法研究了在非哈密顿扰动下发生随机混沌的必要条件；用最大Lyapunov指数及Poincaré截面方法结果与上述理论结果作了对比。

The calculation of an example indicates that the combined optimal model is better than the single one in terms of simul.

大坝安全的组合优化监控模型实际上为一带约束的优化问题，将DNA遗传算法应用于大坝安全监控领域中，用罚函数法将有约束的优化问题转换为无约束的优化问题，建立了大坝安全监控的组合优化模型。

Sine function fitting, various BP neural network algorithm application.

正弦函数拟合，各种BP神经网络算法的应用。

In this paper,from the view point of engineering realization,the problem of decentralized E-Stabilization of complex giant singular nonlinear systems is cousidered by employing the theory of variable structure contol, the property of diagonal dominant matrices and Lyapunov function.

应用变结构控制理论和对角占优矩阵的性质，结合Lyapunov函数方法，从工程实现的角度考虑并研究了一类复杂巨型广义非线性系统的分散E—镇定问题，在一定条件下。

In this article, we use three multifractal analysis methods, which are partition function method, singular spectrum method and multifractal detrended fluctuation method, to analyse the closing price series during the past seven years in Shanghai Stock Market with different time scales.

作者将多重分形分析的三种方法（配分函数分析法、奇异谱分析法和多重分形趋势消除波动分析法）应用于我国上海证券市场在过去七年中的收盘指数序列，分析了不同时间标度对多重分形特性的影响。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新