State dependent vector measures as feedback controls for impulsive systems in Banach spaces

被引:0
作者
Ahmed, NU [1 ]
机构
[1] Univ Ottawa, Sch Informat Technol & Engn, Ottawa, ON K1N 6N5, Canada
[2] Univ Ottawa, Dept Math, Ottawa, ON K1N 6N5, Canada
来源
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2001年 / 8卷 / 02期
关键词
vector measures; feedback controls; impulsive systems; Banach spaces;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider a general class of impulsive systems in infinite dimensional Banach spaces with controls which are state dependent vector measures. This class includes the classical model widely studied in the literature and also the model proposed recently by the author. We study the questions of existence and regularity properties of solutions for these models. Continuous dependence of solutions with respect to feedback control laws is discussed. The paper is concluded with some comments on open problems in the area.
引用
收藏
页码:251 / 261
页数:11
相关论文
共 12 条
  • [1] A brief biography and survey of collected works of V. Lakshmikantham
    Agarwal, RP
    Leela, SG
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 40 (1-8) : 1 - 19
  • [2] Ahmed N, 2000, INT J DIFFERENTIAL E, V1, P37
  • [3] Ahmed N.U., 1991, Pitman Research Notes in Mathematics Series, V246
  • [4] Ahmed NU, 1999, DYN CONTIN DISCRET I, V6, P519
  • [5] AHMED NU, UNPUB VECTOR MEASURE
  • [6] AHMED NU, IN PRESS DYNAMICS CO
  • [7] AHMED NU, IN PRESS NONLINEAR A
  • [8] Diestel J., 1977, MATH SURVEYS, V15
  • [9] GUO D, 1996, DYN CONTIN DISCRET I, V2, P77
  • [10] Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6