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The application of the comparison principle to multiple rational time delay discrete systems with interval coefficient.

比较原理在多有理数时滞区间系数离散系统的应用。

A fuzzy AHP decision model is constructed by establishing thesequence hierarchy on the principle of triangular fuzzy number comparison from the judgment matrix built on the concept of triangular fuzzy number.

根据三角模糊数的概念构造判断矩阵,基于三角形模糊数比较原理进行层次单排序,得到模糊AHP决策模型。

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。

By using comparison principle, the sufficient conditions of this model with global attractivity of infection-free periodic solution and system permanence were obtained.

研究一类具有阶段结构和脉冲免疫的SIR模型,利用比较原理得到此模型无病周期解全局吸引和系统持久的充分条件,并利用数值模拟验证结论。

By using the comparison theorem of differential equation, we study the permanance of the system; After that, by constructing sutiable Lyapunov functional, we obtain some sufficient condition which guarantee the global attractivity of the system.

利用微分方程比较原理得到保证系统持续生存的条件;通过构造适当的Lyapunov泛函得到保证系统正解全局吸引的充分性条件。

Applying the boundness and some propertities of the mean of integration, we get the sufficient condition of weak persistence in the mean, and the curve of demarcation between weak persistence in the mean and going-to death.

本文利用比较原理证明系统解的有界性,由解的有界性及积分均值的一些性质得到了种群弱平均持续生存的充分条件,并在一定条件下得到了种群弱平均持续生存与绝灭之间的分界曲线。

Applying the boundness and some propertities of the mean of integration, we get the sufficient condition of weak persistence in the mean, and the curve of demarcation between weak persistence in the mean and going-to death. An optima!

本文利用比较原理证明系统解的有界性,由解的有界性及积分均值的一些性质得到了种群弱平均持续生存的充分条件,并在一定条件下得到了种群弱平均持续生存与绝灭之间的分界曲线。

By taking thecondition into account that the impulsive times are fixed,some criteria are established inSection 3.1 to judge the stability of the systems in terms of two measures.

在§3.1中,考虑了脉冲时刻固定的情形。借助于变异Lyapunov方法、比较原理和逐段连续的Lyapunov函数,我们建立了一些这类系统依照两种测度的稳定性判定准则。

By establishing a new comparison principle,and using method of L-quasi-upper and lower solutions and mixed monotone iterative technique,the results of existence and uniqueness of solutions to Cauchy problem s of first order nonlinear integrodifferential equations in Banach spaces are obtained.

通过建立一个新的比较原理,利用L-拟上下解方法和混合单调迭代法,研究了Banach空间中一阶非线性积分微分方程初值问题解的存在唯一性,并给出了近似解的迭代序列和误差估计式。

Comparison Principle Theory approach has been widely applied for its unique deceasing dimensions of the complex systems and complicated degree of the analysis. It has become an important in analysis and design of the robust control.

近几年来,比较原理方法,以其独特的降维特点在大系统的分析中得到了越来越广泛的应用,成为鲁棒控制设计与分析的一类重要方法。

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