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This paper is concerned with delay-dependent absolute stability for a class of uncertain Lur'e systems with multiple nine-delays.

摘要研究了一类参数不确定的具有多个时滞的Lur'e型控制系统与时滞相关绝对稳定性问题。

This paper is concerned with delay-dependent absolute stability for a class of uncertain Lur′e systems with multiple time-delays.

研究了一类参数不确定的具有多个时滞的Lur′e型控制系统与时滞相关绝对稳定性问题。

The optimal control law obtained is composed of feedforward and feedback optimal terms without time-delay in analytic forms and a compensation term with time-delay in a sequence limit form of adjoint vectors.

得到的最优控制律由解析的无时滞前馈-反馈控制部分和伴随向量序列极限形式的时滞补偿控制部分组成。

The notion of affine quadratic stability is proposed for uncertain delayed systems. Based on such a notion, methods of robust stability and robust H〓 performance analysis for uncertain linear delayed systems with affine parameter uncertainty are developed by using linear matrix inequalities.

本章提出了不确定时滞系统仿射二次稳定的概念,对于具有仿射参数不确定性的线性时滞系统,基于仿射二次稳定概念,利用线性矩阵不等式给出了鲁棒稳定性和鲁棒H〓性能分析方法。

First, a simple criterion on the delay-independent asymptotic stability has been derived in the form of the algebraic Riccati inequality and algebraic Riccati equation for the linear systems with time-varying multi-state delays.

4针对工业生产中广泛存在的不确定时滞过程,研究了时滞系统的渐近稳定性的判定方法和镇定方法。

In the second chapter, the concept of an integrated abstract delay equation is introduced, and the equivalence of the well - posedness of an integrated delay equation and an associated integrated Cauchy problem is derived.

在第二章中,引入了积分抽象时滞方程的概念,并且得到积分抽象时滞方程的适定性与相应的积分柯西问题适定性等价。

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程,发现在时滞等于零时该正平衡解是渐近稳定的,当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

The controller designed guarantees the closed-loop system to be asymptotically stable and possess good maneuverability.

主要研究了一类含有不确定参数的输入时变时滞系统的时滞依赖型鲁棒镇定问

The purpose of this part is to study the delay differential systems in Banach space using the method of fixed point theorem.

一方面在非时滞的情况下通过构造比较函数,利用Brouwer不动点定理得到非时滞微分方程正周期解的存在唯一性,及周期解全局吸引的充分条件。

In the chapter three, by using the comparison principle and frequency domain method of the discrete systems with time-delay, combining Rouche Theorem, sufficient criterions for the stabilization of the neutral type discrete control systems with multiple time-delay and the neutral type interval coefficient discrete control systems with multiple time-delay are obtained by choosing appropriate feedback controller.

在第三章,利用时滞离散系统的比较原理与时域法,结合复变函数理论中的路歇定理,通过选取适当的反馈控制律,得到了多组时滞中立型线性定常离散控制系统和多组时滞中立型区间系数线性定常离散控制系统的无条件镇定的充分性准则。

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