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In the third chapter, we discuss an integral inequalities system with retard and unknown functions of power.

在本文第三章中,我们研究了一个带有时滞的、未知函数项带有方幂的积分不等式组。

For delay discrete-time linear system, saturant function is introduced. Thesufficient condition of GAS and RAS is presented by saturant function infimum.

针对时滞离散线性系统,引入饱和函数,利用饱和函数的下确界,建立了系统全局渐近稳定和局部渐近稳定的充分条件。

In the third chapter, some results of inhomogeneous abstract delay equations are given.

在第三章中,给出了非齐次抽象时滞方程的一些结果。

In this paper we consider a spatially inhomogeneous competition diffusion system with distributed delay.

我们在本文中所考虑的是后者,即含有无穷时滞的竞争扩散系统。

Guaranteed cost control of linear uncertain systems with time-varying delays in state and input: an LIM approach .

状态与控制均含时变时滞的线性不确定系统的保成本控制-一个矩阵不等式方法。

Robust stabilization of uncertain neutral systems with time-delays in state and control input.

状态与控制输入均带时滞的不确定中立型系统的鲁棒稳定性。

In the chapter 6, the robust decentralized stabilization for a class of uncertain large-scale composite systems with constant delay in state and input is considered.

本文的等六章讨论了一类有常值状态和输入时滞的不确定组合大系统的鲁棒分散镇定问题。

Actuarial science applies mathematical methods in insurance and is a science between applied mathematics and insurance. Bonus-malus system of automobile insurance is an important topic in actuarial science. Markov chain, Bayes theory, the theory of delay differential equation and dynamic programming are used to study BMS, especially optimal BMS, of automobile third-party liability insurance in this dissertation, which is organized as follows:First, we study the properties of Chinese present BMS.

精算学是将数学方法应用于金融保险所形成的一套理论体系,是应用数学研究领域和金融保险研究领域这两者之间的一个边缘学科,汽车保险奖惩系统是现代精算学中的一个重要研究课题,本文主要用马尔可夫链、贝叶斯理论、时滞微分方程理论与动态规划等研究汽车第三者责任保险奖惩系统,特别是最优奖惩系统。

Sensitivity function and control sensitivity function are obtained by Youla parameterization of controller,which is used to describe an integral square performance criterion containing tracking error and control energy.

由控制器Youla参数化得到控制系统的敏感度函数和控制敏感度函数用来表示一个包含跟踪误差和控制能量在内的积分平方性能指标,针对不同类型的时滞过程运用谱分解的方法最小化该性能指标,从而导出相应控制器的设计方法,可使系统在控制能量约束条件下具有最优的控制性能。

The problem of robustly and absolutely stable control for uncertain nonlinear interconnection systems with state and input-time-varying delay is studied in terms of integral inequality.

采用积分不等式,研究了一类具有状态和输入变时滞的非线性关联不确定系统的鲁棒综合问题。

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