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1)  impulsive integro-differential system
脉冲积分-微分系统
1.
In this paper, we study stability and boundedness for impulsive integro-differential systems as followsQua a important embranchment of nonlinear impulsive di?erential systems[1, 27],impulsive differential systems have extensive applications in nature-science.
本文主要研究脉冲积分-微分系统脉冲积分-微分系统作为非线性脉冲微分系统[1, 27]的一个重要分支,在自然科学中有着广泛的应用背景,如物理学中的电路模拟器与生物学中的神经网络系统等的数学模型可以归为脉冲积分-微分系统进行分析探讨,因而具有重要的应用价值,近年来也已引起了专家的兴趣与关注[2?6]。
2)  Impulsive integro-differential system
脉冲积分微分系统
1.
Robust stability of uncertain impulsive integro-differential systems;
一类不确定脉冲积分微分系统的鲁棒稳定性(英文)
3)  impulsive differential system
脉冲微分系统
1.
Bounded Φ-variation solution for a class of impulsive differential systems;
一类脉冲微分系统的Φ-有界变差解
2.
Bounded variation solutions for a class of impulsive differential systems at fixed times
一类固定时刻脉冲微分系统的有界变差解
3.
Stability of a kind of third-order impulsive differential system
一类三阶脉冲微分系统的稳定性
4)  impulsive differential systems
脉冲微分系统
1.
The practical stability in terms of two measures of impulsive differential systems and its perturbed systems is de-veloped by Lyapunov direct method.
运用李雅普诺夫直接方法研究了脉冲微分系统及其摄动系统关于两个测度的实际稳定性。
2.
By using these theorems, it can conclude stability properties of impulsive differential systems from the corresponding stability properties of the relevant ordinary differential systems.
利用变异 Lyapunov方法 ,讨论了脉冲微分系统依照两种测度的稳定性判定定理 ;在脉冲时刻为固定的情形下 ,得到了关于用常微分系统的稳定性来判定脉冲微分系统稳定性的若干判定定理 ,并改进了已有的多个结果 。
3.
Existence and uniqueness of bounded variation solutions for first order impulsive differential systems at fixed times on a finite interval is discussed and the sufficient conditions of existence and uniqueness of bounded variation solutions for impulsive differential systems are established.
本文借助不连续系统有界变差解理论和脉冲微分系统理论,将文[22]中讨论的一类不连续系统推广到含脉冲情形,并讨论该类固定时刻脉冲微分系统的有界变差解,给出了这类微分系统有界变差解存在性和唯一性定的充分条件。
5)  impulsive functional differential system
脉冲泛函微分系统
1.
This paper is mainly concerned with the controllability of impulsive functional differential system in Banach space.
借助Leray-Schauder(非线性抉择)定理,对抽象空间中一类一阶脉冲泛函微分系统适度解的可控性问题进行了研究。
2.
we study impulsive stabilization of third-order delay differential system as followsand the stability of impulsive functional differential system with p-delay as follows Impulsive effects exist in many evolution processes in which states are changed abruptly at certain moments of time.
本文主要研究三阶时滞微分系统在满足一定条件情况下的脉冲镇定问题,以及p-滞后型脉冲泛函微分系统的稳定性。
3.
In this paper, we study stability and boundedness for impulsive functional differential systems as followsand impulsive hybrid differential system as followIn this dissertation,we study some stability properties for impulsive functional differential systems and impulsive hybrid differential systems employing the method of generalized second order derivatives in Lyapunov s second method.
本文主要研究脉冲泛函微分系统 (?)及脉冲混合微分系统 (?)的稳定性和有界性。
6)  impulsive differential systems with variable time
变时脉冲微分系统
1.
Aim\ Stability of impulsive differential systems with variable time is proved.
目的 证明变时脉冲微分系统的稳定性 。
补充资料:比例积分微分作用控制算法
分子式:
CAS号:

性质:控制装置输出信号的变动量包括(1)与偏差成比例的比例作用(P)项,(2)与偏差对时间的积分值成比例的积分作用(1)项和(3)与偏差驿时间的变化率成比例的微分作用(D)项三者相加而成的控制作用数学表示法。设令u代表控制器输出,u0代表在初始时刻t0而且偏差为零情况下的控制器输出,e代表偏差值,即控制器输入,则式中t为时间,Kc称比例增益,Ti称再调时间,Td称预调时间。比例积分微分作用综合了三种控制作用的优点,与单纯的比例作用(P)相比,比例积分微分作用(PID)兼有能消除余差和在被控变量发生变动的萌芽阶段即能及时动作的优点,但在被控变量存在高频的微小波动(噪声)时不宜采用。主要用于温度和成分控制回路。

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