一类非线性脉冲积微分方程解对初值和控制的连续依赖性
The Continuous Dependence of Solution on Initial State and Control for A Class of Nonlinear Impulsive Differential Equations
摘要
本文主要讨论了Banach空间中一类非线性脉冲积微分方程解对初值和控制的连续依赖性问题。
In this paper, we consider the continuous dependence of solution on parameters such as initial state and control for a class of nonlinear impulsive differential equations.
出处
《江西科学》
2009年第1期11-13,共3页
Jiangxi Science
基金
国家自然科学基金(10361002)
关键词
半群
BANACH空间
积分算子
连续性
Semigroup, Banach space, Integral operater, Continuous dependence
参考文献5
-
1Ahmed N U. Semigroup Theory with Applications to System and Control[ M]. New York: Pitman Research Notes in Maths Series 246, Longman Scientific Technical, 1991.
-
2Ahmed N U. Optimal impulsive control for impulsive systems in Banach Space [ J ]. Internat. J. Differential Equations Appl. ,2002, ( 1 ) :37 -52.
-
3Liu J H. Nonlinear impulsive evolution equation [ J ]. Dyn. Cont. Discrete and Impulsive System, 1999, 6 (1) :77 -85.
-
4Xiang Xiao - ling, Kuang Hua - wu. Delay systems and optimal control[ J]. Acta Mathematices Applicates Sinica,2000,16:27 - 35.
-
5X Xiang, Peng Y, Wei W. A general class of nonlinear impulsive integro - differential equations and optimal controls on banach spaces [ J ]. Dynameical System and Differential Equations ,2005,6:911 - 919.
-
1鲍乐平,彭云飞.Banach空间中一类非线性脉冲积微分方程与最优控制(英文)[J].贵州大学学报（自然科学版）,2006,23(1):20-25.
-
2彭云飞.Banach空间上的一类非线性脉冲积微分方程(英文)[J].贵州师范大学学报（自然科学版）,2004,22(3):80-86.
-
3尹文玲.关于Banach空间中脉冲积微分方程的一个技巧[J].青岛大学学报（自然科学版）,2009,22(2):22-26.
-
4彭云飞,项筱玲.受控系统为非线性脉冲积微分方程的最优化的必要条件[J].贵州大学学报（自然科学版）,2008,25(4):331-333.
-
5韦维,项筱玲.一类非线性脉冲发展方程的最优反馈控制(英文)[J].工程数学学报,2006,23(2):333-342. 被引量：3
