Oscillatory and Asymptotic Behavior of Solutions for Nonlinear Impulsive Delay Differential Equations

The oscillatory and asymptotic behavior of the solutions for third order nonlinear impulsive delay differential equations are investigated. Some novel criteria for all solutions to be oscillatory or be asymptotic are established, Three illustrative examples are proposed to demonstrate the effectiveness of the conditions.     

Attractor minimal sets for cooperative and strongly convex delay differential systems

We study the skew-product semiflow induced by a family of convex and cooperative delay differential systems. Under some monotonicity assumptions, we obtain an ergodic representation for the upper Lyapunov exponent of a minimal subset. In addition, when eventually strong convexity at one point is assumed and there exist two completely strongly ordered minimal subsets K₁?_CK₂, we show that K₁ is an attractor subset which is a copy of the base. The long-time behaviour of every trajectory strongly ordered with K₂ is then deduced. Some examples of application of the theory are shown.     

两位控制系统稳态特性的一种计算方法

本文提出的两位控制系统稳态特性的计算方法,能比较全面和准确地计算出系统进入稳态后被控变量的波动过程。对于传递函数比较复杂的被控对象,只要能写出其幅频和相频特性的公式,都可以用本文提出的方法计算。     

组合系统状态变量图的消环折算与规范化

通过消环折算将组合系统状态变量图等效换为开环，从而可直接由图读出规范化状态变量图的系数矩阵表达式，避免了烦琐的数学运算，减少了出错几率，而且系统越复杂，优越性越明显，简化了系统的分析计算。     

采用多微机的SPWM矢量控制变频调速系统

本文提出一种用多微机系统实现SPWM型矢量控制——解耦控制的方法.该系统采用了交流变速领域内多种新技术,使用微型计算机控制,结构简单,运行稳定.文中推导了系统中进行的矢量变换公式,导出了产生转子磁通与转子电流解耦控制的条件,对利用微机进行正弦脉宽调制及其计算也作了说明.本文介绍了控制系统的构成.对SPWM型矢量控制所面临的特殊问题及其解决办法作了分析,探讨了利用电流矢量跟踪法实现磁通相位角间接控制的办法.叙述了多微机系统的结构,及其通讯方式.最后,给出了控制系统在2.8千瓦感应电动机上进行试验的结果,电流波形良好,低频运行平稳,动态性能接近于直流电动机控制系统.     

具有不同耦合强度且带有时滞的振子网络上的同步

本文研究了具有不同耦合强度且带有时滞的振子网络上的同步问题．我们给出了该网络同步状态的稳定性准则，证实了其同步状态的稳定性与网络的拓扑性无关．最后，通过数值模拟验证了我们的理论结果．     

Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized KdV Equations

Using the generalized conditional symmetry approach, a complete list of canonicalforms for the Kortewegde-Vries type equations with which possessing derivative-dependent functional separable solutions (DDFSSs) is obtained.The exact DDFSSs of the resulting equations are explicitly exhibited.     

Extremally distant normed spaces with additional restrictions

We study the relationship between the Banach—Mazur distance and the modified Banach—Mazur distance. We sharpen the Szarek theorem on the construction of invariant norms with specific properties and construct extremally distant normed spaces with norms invariant under groups of automorphisms of small cardinality. We prove that the trivial upper bound for the Banach—Mazur distance obtained in terms of the modified Banach—Mazur distance is order-sharp.     

On the Boundary Control of a Hybrid System with Variable Coefficients

A model of the spacecraft control laboratory experiment with variable coefficients is considered. It is shown that the closed-loop system under boundary feedback damping has a sequence of generalized eigenfunctions, which form a Riesz basis for the state Hilbert space. The spectrum-determined growth condition, the exponential stability, and an asymptotic expression of the spectrum are obtained. Moreover, the exact controllability and exact observability of the system are also presented.