Title :
Normal compactness conditions in variational analysis
Author :
Mordukhovich, Boris S. ; Wang, Bingwu
Author_Institution :
Dept. of Math., Wayne State Univ., Detroit, MI, USA
Abstract :
In this paper we consider some aspects of nonsmooth variational analysis that are especially important for numerous applications to constrained optimization and nonlinear control systems in infinite-dimensional spaces. These properties, unified under the name of "sequential normal compactness", automatically hold in finite dimensions while playing a crucial role in infinite-dimensional variational analysis and its applications.
Keywords :
constraint handling; nonlinear control systems; optimal control; variational techniques; constrained optimization; extremal principles; infinite dimensional spaces; nonlinear control systems; normal compactness conditions; optimal control; sequential normal compactness; variational analysis; Automatic control; Constraint optimization; Constraint theory; Control system analysis; Control systems; Lifting equipment; Mathematics; Nonlinear control systems; Nonlinear systems; Topology;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184424
