Title :
Optimal control of state-constrained parabolic systems with nonregular boundary controllers
Author :
Mordukhovich, Boris S. ; Zhang, Kaixia
Author_Institution :
Dept. of Math., Wayne State Univ., Detroit, MI, USA
Abstract :
We study an optimal control problem of linear parabolic systems with pointwise state constraints and Dirichlet boundary controls. Our variational analysis is based on a well-posed penalization procedure. The obtained result establishes necessary optimality conditions for the original state-constrained problem by passing to the limit from approximating problems under a proper constraint qualification
Keywords :
approximation theory; distributed parameter systems; linear systems; optimal control; parabolic equations; variational techniques; Dirichlet boundary controls; distributed parameter systems; linear parabolic systems; necessary optimality conditions; optimal control; pointwise state constraints; variational analysis; Boundary conditions; Control systems; Cost function; Distributed parameter systems; Equations; Optimal control; Performance analysis; Qualifications;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.650680
