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According to the method,a input/output off-line model and time delay parameter of a unknown time delay process is identified by ULN.The ULN that can be a neural network predictor is used for a prediction model of the time delay systems.

该方法利用本文提出的通用学习网络自适应算法对模型未知的时滞系统进行离线建模,得到该过程的输入输出模型以及系统的滞后时间,进而将辨识得到的神经网络模型作为模型预测器对时滞系统进行预报。

In the first chapter, the one - to - one correspondence between mild solutions of an abstract deday equation and mild solutions of an associated abstract Cauchy problem is shown, and necessary and sufficient conditions for existence and uniqueness of mild solutions of the abstract delay equation are obtained.

全文共为三章,在第一章中,说明了抽象时滞方程的mild解与相应的抽象柯西问题的mild解一一对应,并且得到了抽象时滞方程的mild解存在唯一的充要条件。

Secondly, the effectiveness and limitation of the classical perturbation, such as the method of multiple scales and the Poincare-Lindstedt method, are discussed in detail through a Duffing oscillator with delayed velocity feedback. It is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders. An ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution.

其次,以一具有时滞速度反馈的Duffing系统为例,研究了经典摄动法如多尺度法,Poincaré-Lindstedt法等在求解时滞微分方程级数解时的适用性和局限性问题,指出利用这些方法只能有效求得系统的前两阶近似解,而在求系统的三次以上近似解时会出现矛盾或二义性。

In this paper, we first study the existence of positive solution and oscillation of neutral differential equation with...

第一章多滞量中立型时滞微分系统的正解存在性及振动性在这一章中,我们讨论中立型时滞微分方程

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。

A class of systems of impulsive delay parabolic partial differential equations with nonlinear diffusion coefficient is considered.

考虑一类具非线性扩散系数的脉冲时滞抛物型偏微分方程组,利用Green公式、垂直相加法和脉冲时滞微分不等式,获得了该类方程组在Robin边值条件下所有解振动的充分判据。

Aiming at the big time-delay,big burthen fluctuating and mutable characteristic of the controlled object,combining Smith predicator with PID controller,the BP neural network tuning Smith-PID controlling policy is presented.

针对大时滞时变对象,把Smith补偿控制原理和PID参数的自适应调整方法结合起来,提出了基于BP神经网络整定Smith PID控制算法,即在Smith预估补偿控制系统中,利用BP神经网络在线自学习整定PID参数,使PID参数实现最佳的非线性组合,以适应对象特性的变化,从而克服了常规PID算法不适应大时滞系统控制和常规Smith算法过于依赖模型精度的缺陷。

The results indicate that the delay is "profitless".

结论表明该时滞是"有害"时滞

Last we obtain globally asymptotically stability of boundary equilibrium by applying locally asymptotically stability and attractiveness and persistence by using uniform repeller theorem.

在第二章中研究了一类具有时滞的捕食与被捕食系统,分析了系统的正不变集,运用了特征值理论得到了边界平衡点性质,当时滞很小时,得到了系统在正平衡点局部渐近稳定的充分条件,以及当T增加到T_0时,系统在正平衡点附近产生Hopf分支的充分条件;利用局部渐近稳定性加吸引性得到了边界平衡点全局渐近稳定性的充分条件,且应用一致排斥定理得到了种群持久生存的条件。

The characteristics of the filter include that the parameter variation ranges are taken into account, and within the parameter variation range each maximum magnitude of the residual vibrations is set to be equal. Thus, if the system parameters vary in lager ranges, the filter is more robust and the residual vibrations can be affectively eliminated.

该滤波器的特点是考虑了系统参数的变化范围,系统残留振动的最大幅值在参数变化区间内相等,从而提高了时滞滤波器的鲁棒性,特别是当系统参数大范围变化时,时滞滤波器有更强的鲁棒性,能有效消除柔性系统的残留振动。

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