Necessary conditions of optimality for second-order nonlinear impulsive differential equations

被引：5

作者：

Peng, Y. ^{[1
]}

Xiang, X. ^{[1
]}

Wei, W. ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2007年 / 2007卷 / 1期

关键词：

Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Analysis; Functional Equation;

D O I：

10.1155/2007/40160

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the existence of optimal controls for a Lagrange problem of systems governed by the second-order nonlinear impulsive differential equations in infinite dimensional spaces. We apply a direct approach to derive the maximum principle for the problem at hand. An example is also presented to demonstrate the theory. Copyright (C) 2007.

引用

页数：17

共 17 条

[1]

Ahmed N, 2000, INT J DIFFERENTIAL E, V1, P37

[2]

Ahmed N. U., 1991, SEMIGROUP THEORY APP, V246

[3] Necessary conditions of optimality for impulsive systems on Banach spaces [J].

Ahmed, NU .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (03) :409-424

[4] NECESSARY AND SUFFICIENT CONDITIONS FOR L1-STRONG WEAK LOWER SEMICONTINUITY OF INTEGRAL FUNCTIONALS [J].

BALDER, EJ .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (12) :1399-1404

[5]

Butkovaskii, 1961, AVTOMAT TELEMEKH, V22, P1288

[6]

EGOROV AI, 1961, STUDIES INTEGRODIFFE, P213

[7]

Fattorini H.O., 1999, Encyclopedia of Mathematics and its Applications, V62

[8]

Li X, 1995, Optimal Control Theory for Infinite-Dimensional Systems. Systems and Control: Foundations and Applications

[9]

PENG Y, OPTIMIZATION

[10]

PENG Y, 2007, P 4 INT C IMP HYPR D, P433

← 1 2 →