Year: 1985
Type: article
Abstract: This paper characterizes regular reachability of relaxed hereditary differential systems as a positive controllability property of an associated linear system in the Sobolev space $W^{1,2} $. Thus the results of F. Colonius [SIAM J. Control Optim., 20 (1982), pp. 675–694] are improved. Regular reachability is relevant as a regularity condition in the proof of a maximum principle for fixed final state optimal control problems.
DOI: 10.1137/0323049
Author: Fritz Colonius
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W1970133063