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Based on Lyapunov functional theory and linear matrix inequality, the suffcient condition of delay-dependent guaranteed cost control law with time-varing is derived and the minimal cost supper is given.

基于Lyapunov函数的理论,并运用线性矩阵不等式导出了该系统时滞依赖的保性能控制律存在的充分条件以及最小性能上界。

H∞ control ; augmented Lyapunov functional ; delay-dependent ; linear matrix inequality

H∞控制;增广Lyapunov泛函;时滞相关;线性矩阵不等式

In chapter five, by the methods of analysis of interval matrix and Lyapunov functional, the absolute stability and robust absolute stability for several types of delay Lurie control systems with multiple nonlinearities was investigated, and some algebraic criteria were obtained.

在第五章,用Lyapunov泛函和区间矩阵分析方法,讨论了几类时滞多非线性Lurie系统的绝对稳定性及鲁棒绝对稳定性,并得出了一些代数准则。

Based on some existing works, this thesis is devoted to the study of globalsynchronization for several delayed complex dynamical networks by means of Lya-punov functional, linear matrix inequality and some other skills. some su?cientconditions are obtained to guarantee the synchronization of the considered systems.

本学位论文在现有文献的基础上,通过构造不同的Lyapunov泛函,运用线性矩阵不等式,和一些数学分析方法技巧,分析讨论了几类耦合时滞神经网络模型的全局同步性质,得到了其全局同步的几个判断准则。

Based on the fundamental theory of impulsive differential systems, employing Green formula, Gauss divergence theorem, Jensen inequality and Gronwall-Bellman inequality with impulse, we discuss the oscillation of impulsive partial differential systems by adopting reduction to absurdity and the stability in via of comparison theorem, respectively. Especially, we take an in-depth study on the oscillation of neutral impulsive parabolic systems and the stability of a class of nonlinear impulsive partial differential equations and obtain some useful conclusions.

本学位论文以脉冲微分系统基本理论为基础,利用反证法的分析方法和比较定理,结合Green公式、Gauss散度定理、Jensen不等式、含脉冲的Gronwall-Bellman不等式以及相关数学工具研究了脉冲偏微分系统的振动理论和稳定性理论,特别对中立型脉冲时滞抛物系统的振动性和一类非线性脉冲偏微分系统的稳定性作了较为深入的研究,给出了一些有用的结论。

Some sufficient criteria were obtained for oscillation of all solutions of such systems under first boundary value conditions by employing Gauss' divergence theorem, the integral inequalities and some results of the functional differential equations.

研究一类具非线性扩散系数的中立型双曲泛函偏微分方程组的振动性,利用Gauss散度定理、积分不等式和泛函微分方程的某些结果,获得了该类方程组在第一类边值条件下所有解振动的若干充分判据,结论充分表明振动是由时滞量引起的,同时也揭示该类方程组与普通双曲型偏微分方程组质的差异。

In the paper, many further discussions about the optimal control problem,the approximate optimal solution to generalized time optimal control problem and stability of the degenerate systems with delay are considered and some important and meaningful results are obtained in it.

而本篇论文则是对具有时滞的退化系统的最优控制问题,广义时间最优控制问题的近似最优解和稳定性问题进行了讨论并且得出了一系列的重要成果。

The paper is concerned with the problem of global asymptotical stability and existence of global attractor of dynamical threshold neuron with delay.

分析了具有时滞的动态神经元的全局吸引子的存在性以及全局稳定性。

Based on the study of a discrete chaotic system of numerical solution and graphical simulation, while for discrete time-delay chaotic system a numerical simulation procedure.

详细说明:摘要:基于研究了离散混沌系统的数值解法和图形仿真,同时针对离散时滞混沌系统给出了数值仿真的程序。

The stability of Hamiltonian systems with time delay was investigated.

研究了带有时滞的哈密顿系统的稳定性问题。

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