State dependent vector measures as feedback controls for impulsive systemsin Banach spaces

Authors
Citation
Nu. Ahmed, State dependent vector measures as feedback controls for impulsive systemsin Banach spaces, DYN CONT B, 8(2), 2001, pp. 251-261
Citations number
12
Categorie Soggetti
Engineering Mathematics
Journal title
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS
ISSN journal
12013390 → ACNP
Volume
8
Issue
2
Year of publication
2001
Pages
251 - 261
Database
ISI
SICI code
1201-3390(200106)8:2<251:SDVMAF>2.0.ZU;2-W
Abstract
In this paper we consider a general class of impulsive systems in infinite dimensional Banach spaces with controls which are state dependent vector me asures. This class includes the classical model widely studied in the liter ature and also the model proposed recently by the author. We study the ques tions of existence and regularity properties of solutions for these models. Continuous dependence of solutions with respect to feedback control laws i s discussed. The paper is concluded with some comments on open problems in the area.