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In the fourth chapter, the effects of light on the stability of the circadian system model with delay are studied.

在第四章中,研究了光照对时滞昼夜节律模型稳定性的影响。

Delay-dependent stabilization problem for a class of linear systems with interval time-varying delay is considered.

研究具有区间时变时滞的线性系统的镇定性问题。

This paper considers the problem of robust H(subscript ∞) control for a class of interval singular systems with state delay.

研究了一类时滞区间广义系统的鲁棒H控制问题。

The problem of H(subscript ∞) robust and resilient control for a class of singular interval systems with state delay is proposed.

研究了一类时滞广义区间系统的H鲁棒弹性控制问题。

But distilling tower temperature control is a typic big time-lag system, and the control of it is always a difficult problem in coak producing industry.

但由于氨塔温度控制属于典型的大时滞系统,对这种系统的自动控制一直是焦化生产控制中的一个难题。

Double homoclinic loops; Resonant eigenvalues; Nontwist; Periodic orbit; Bifurcation; Periodic solution; Predator-prey system; Fixed point theorem; Coincidence degree; Delay; Functional response function

基础科学,数学,动力系统理论双同宿环;共振特征根;非扭曲;周期轨;分支;周期解;捕食者-食饵系统;不动点定理;重合度;时滞;功能反应函数

Based on Lyapunov stability theory combined with linear matrix inequality technique and S-procedure, some new delay-independent stability criteria are derived in terms of LMI.

利用Lyapunov稳定性理论,结合线性矩阵不等式方法和S-过程,给出了基于LMI形式的时滞独立渐近稳定判据。

In this paper, we review some back ground and recent advances in the field of complex networks, and give the sufficient conditions guaranteeing the local and global synchronization stability of the complex connected dynamical networks with asymmetrical coupling matrix and time delay in coupling by using Lyapunov functional.

在这篇论文中,较全面地介绍了复杂网络研究的背景,发展和现状,着重讨论了动态网络模型的同步性质,应用Lyapunov泛函,考察了带有更一般的不对称连接矩阵以及时滞的复杂动态网络的同步性质,给出了局部和全局同步的充分条件。

At the end of every section, numerical examples are given to illustrate the more effectiveness and less conservativeness of the proposed method.

通过LMI工具箱,我们能很容易的得到时滞的最大上界。在每一节的最后都有例子来说明本方法的优越性。

In chapter one, by using a competely continuous operator on cone and the Krasnoselskii fixed point theorem, we study the existence of positive periodic solutions of differential equations with impulses and delays, and some sufficient conditions will be given.

第一章讨论了一类具脉冲时滞微分方程周期正解的存在性,通过建立锥上的全连续算子,利用Krasnoselskii不动点定理,得到了存在周期正解的若干充分条件。

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