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In this paper, the boundedness and stability of solutions for a class of fourth order nonlinear differential equations are studied by using the method of Liapunov function.

本文利用Liapunov函数方法,研究了一类四阶非线性微分方程解的稳定性及有界性,得出了解的有界性及稳定性存在的充分条件。

Firstly, Receding horizon H〓 control based on state feedback with terminal constraints is proposed for systems with disturbance inputs and parameter perturbations. Linear Fractional Transformation and some existed results on Receding horizon H〓 control for systems without perturbations are introduced.

首先针对同时存在外界输入扰动和自身参数摄动的不确定线性时变系统,利用线性分式变换和现有的一些无摄动系统滚动时域H〓控制的结果,得到了基于状态反馈的终端约束滚动时域H〓控制器的设计方法,并给出了控制律存在和使闭环系统渐近稳定的充分条件。

In the chapter 3,we base on the existence of periodic solution ,using the method of linearization and applying the mean value theorem and the variation-of-constants formula, we get the sufficient condition of the exponential stability of periodic solution of a class of nonlinear functional differential system .

在第三章中,建立在系统周期解存在的基础上,利用线性化的方法,根据微分中值定理和常量变差公式,得到了一类非线性泛函微分系统周期解指数稳定的充分条件。

By extending the method of the perturbation control applied to 1-D systems to 2-D discrete dynamical systems, we study its control on spatial chaos in the sense of space.

空间混沌的参数微扰控制将一维系统的参数微扰控制拓展到2-D离散动力系统上,真正从空间意义上研究2-D离散动力系统的混沌控制,实现了其空间混沌的控制,并利用Lyapunov第一方法给出了不动平面稳定的一个充分条件。

For the monostable equation, by considering the mixing of traveling wave solutions and the solution independent of spatial variable, other new types of entire solutions are obtained.

另外,我们也利用单调动力系统理论给出了一些判断与空间变量无关的整体解存在的充分条件。

In order to lay the theoretical foundation for the development and utilization of Nelumbo nucifera fiber, the composition and structure of Nelumbo nucifera fiber were investigated systematically, which was extracted by hand from lotus leaf stalk.

为了对莲纤维的充分开发利用奠定理论基础,采用扫描电子显微镜、红外光谱等测试仪器初步探索了莲纤维的形态结构、超微结构及物质组成。

By using the continuation theorem of topology degree theory and properties of nonsingular M-matrix, we obtain sufficient conditions for the existence of positive periodic solutions of this system.

利用拓扑度理论中的连续定理以及M-矩阵的性质获得了该系统正周期解存在的充分条件。

Based on these and by the theories and methods of parametric programming, nonsmooth analysis and nonlinear analysis, the necessary and sufficient optimality conditions of cone efficient solutions for the model were obtained.

利用参数规划、非光滑分析和非线性分析的理论和方法,获得了模型锥有效解存在的最优必要条件和充分条件。

A class of systems of impulsive delay parabolic partial differential equations with nonlinear diffusion coefficient is considered.

考虑一类具非线性扩散系数的脉冲时滞抛物型偏微分方程组,利用Green公式、垂直相加法和脉冲时滞微分不等式,获得了该类方程组在Robin边值条件下所有解振动的充分判据。

The model proposed by Penna TJP in 1995 has then used a computer Bit-String to represent an individual,i.e.,the genome of this individual.

这些工作从不同侧面显示了相应研究方法的可行性和必要性,但其中对个体信息的表达一般不充分,利用效率不高。

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