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时滞

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In studing methods,partial func-tional differential equations sum up the theories and methods of ordinary differentialequations,partial differential equations,the semigroup theory and the fixed-pointtheory in functional analysis and the basic concepts,theories and methods suit-able for the partial differential equations with delay are formed.

偏泛函微分方程在研究方法上综合了常微分方程的理论方法和泛函分析中算子半群、不动点理论以及偏微分方程的理论方法,并形成了以时滞为基本特征的泛函微分方程的基本概念、理论和方法。

In accordance with these questions, one kind of method solving these issues was put forward in this text, and namely adopting mathematics to build the method of pattern, by w-ay of studying the big needle drum system of PASSIM's cigarette machine, to use the mathematical model of big needle drum system of " black box " method establishment, and uses whole parameter and the correlation coefficient to map out the big needle drum system mathematical model of least square method, the question time lapse that what in accordance with the system exists pure adopts Smith compensator to estimate the compensator in advance solving the issue of system lag, and uses whole fixed method of frequency conversion control engineering and PLC's control engineering and PID etc to put into effect transforming to the system, and finally by way of theory verify and reality to verify to prove the success of system transformation.

针对这些问题,本文提出了一种解决这些问题的办法,即采用数学建模的方法,通过研究PASSIM卷烟机大针鼓系统,利用"黑匣子"方法建立大针鼓系统的数学模型,并运用最小二乘法整定出大针鼓系统数学模型的参数及相关系数,针对系统存在的纯时滞问题,采用史密斯预估计补偿器来解决系统滞后的问题,并利用变频控制技术和PLC控制技术、PID参数整定方法等对系统实施改造,最后通过理论验证和实际验证证明了系统改造的成功。

Taking advantage of coincidence degree theory we analyze the existing of periodic solution.

本文的第四章对具有负反馈条件的双时滞微分方程解的振动性进行了研究。

The second chapter discusses the existence of positive periodic solution to infinite delay Lotka-volterre model.

第二章论证了无穷时滞Lotka-Volterra型系统的正周期解的存在性。

Chapter 3 mainly gives the results of stability and periodic solution ofdegenerate differential system with delay.

第三章主要给出关于退化时滞微分系统的稳定性和周期解的结果。

The existence of positive periodic solution for thissystem is obtained by using the continuation theorem of coincide degree.

讨论了具变时滞周期单物种差分系统,用重合度的连续定理获得了这个系统的周期解的存在性。

As an application, the existence of the periodic solution for a class of delay differential equations with piecewise sysmmetric condition is proved.

作为应用,证明了一类具有分段对称性的时滞微分方程的周期解的存在性,推广了现有的相关结果。

The periodicity of a class of nonlinear fuzzy systems with time delays has been studied by using T-S methods.

2研究了一类具有时滞的T-S模糊系统的周期性。

The system under consideration involves state time delay, nonlinear perturbation and parameter uncertainties.

系统包含状态时滞,非线性扰动和参数不确定性。

In addition, considering the move of equilibrium point caused by parameter perturbation and time delay, the offset of equilibrium point is estimated in order to guarantee that the equilibrium point satisfies the need of design.

另外,考虑参数扰动造成平衡点的摄动,对参数扰动和时滞作用下平衡点的偏移进行了估计,以保证递归神经网络平衡点满足设计要求。

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