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At the same time, the characteristic equations of the controlled systems with time delays are transcendental equations and belong to infinite dimensional systems, so it is difficult to study the time delay systems in mathematics theory and also difficult to obtain good performance for the time delay systems using the controller designed by classical control theory.

同时,由于含有时滞的控制系统的特征方程是超越方程,属于无穷维系统,对时滞系统的研究在数学理论上是非常困难的,有很高的理论价值,而且通过经典控制理论设计出来的控制器对时滞系统很难得到良好的控制效果。

The problem of designing sliding mode control for linear systems with input and state delays is considered.

对含多面体不确定性的时滞系统,参数相关的Lyapunov函数,提出了时滞无关和时滞相关的鲁棒稳定的充分条件。

A combination of descriptor model transformation approach and Moons integral inequality technique is effective method to deal with the linear time-varying delay systems.

对于处理时变时滞的线性系统,广义模型变换方法结合Moon不等式是目前比较有效的处理线性时滞系统的方法,本文将该方法推广到T-S模糊时滞系统的研究中。

By the theory of difference equation and the construction of proper vector Liapunov function, we for the first time get the sufficient conditions for the permanence, extinction and balancing survival for this ndimensional system, which are all independent on the delays, hence under peroper conditions the time delays of this system are both harmless and profitless.

通过运用差分方程理论以及构造适当向量Liapunov泛函的方法,首次得到了此类系统多维自治的情形下系统持续生存、灭绝和残存的充分条件,这些充分条件均不依赖于时滞,因而在一定条件下,此系统中的滞后因素既是无害时滞也是无益时滞

In Chapter Two, Liapunov functional method and Liapunov function method with Razumikhin techniques are employed to obtain some delay independent stability results for the Cohen-Grossberg neural networks with multiply delays.

在第三章中,我们首先对一般的无时滞Cohen-Grossber神经网络模型建立了几个稳定性定理,即文中定理3.3.1-3.3.4。从其中推论可看出负的自联接起着很大的稳定化网络的作用。然后我们考虑了一般的Hopfiel神经网络模型,运用单调动力系统理论,在对激发函数做出很弱的假定下获得了与时滞相关的稳定性结果,并对时滞的大小给出很多的估计,文中定理3.4.3。

In Chapter 5, some knowledge about large-scale system and methods for investigating them are introduced, Lyapunov function, differential inequality, Razumikhin theorem, matrix norm and measure methods have been used to discuss the stability of uncertain large-scale system with delays and decay estimates for uncertain time-varying large-scale system with delays, the criteria of stability and decay estimates for uncertain large-scale system with delays are given.

第五章首先介绍了大系统的有关知识以及时滞大系统研究的方法,然后利用Lyapunov函数法、微分不等式法、Razumikhin定理法、矩阵范数与测度法研究了不确定定常时滞大系统的稳定性以及不确定时变时滞大系统的稳定性与系统衰减率的估计问题,得到了系统稳定的判别条件以及系统衰减率的估计。

In this thesis, some theories and approaches related to continuous dynamics, discrete dynamics, impulsive dynamics, operator theory and numerical simulations are used to investigate dynamical behaviors including the existence and globally asymptotic stability of periodic solutions, permanence, extinction, and all kinds of complexities, and meanwhile the possible effects of delay and impulse on the dynamical behaviors are discussed.

我们的这些结果显示出这三个时滞周期系统正周期解存在且全局渐近稳定的充分条件在形式上几乎能够很好的与相应的无时滞自治系统正平衡态存在且全局渐近稳定的充分条件相对(来源:A5babBC论文网www.abclunwen.com)应,这些结果也显示了时滞对系统正周期解的存在性和全局渐近稳定性是有影响的,它们推广并改进了一些已有的相关结果。

In addition, this approach was used in the estimation of the composition of the product P with a single time delay system in the oil refinery process. In comparison to the filtering approach without delay information, the estimation error of the proposed method is smaller.

应用本文所提方法对由石油精炼过程构成的单时滞系统中的产品 P 含量进行了估计,并与时滞无关的无偏H∞滤波器相比,时滞有关的无偏H∞滤波器的估计精度高,说明了本文方法的可行性。

Digital circuit implementation possibly induces pseudomorph because of the data conversion precision.

由于数字时滞电路存在模数转换精度的问题,所以采用数字时滞电路的时滞反馈Lorenz系统容易产生不真实的电路现象。

But those energy functions are not suited to generate hazard-free robust test , we confirmed this by theoretical analyzing and an instance in this dissertation.

但是,Chakradhar等人认为该时滞测试能量函数能够解决各种类型的时滞测试的观点存在局限性,本文通过理论分析和实例验证,指出该时滞测试能量函数并不适宜于无冒险强健测试生成。

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