Abstract
In this article, we are concerned with optimal control of a frictionless contact problem with multiple unilateral constraints for a two-dimensional bar. The existence of an optimal trajectory-control pair is firstly proven under the framework of general cost functional. The Pontryagin maximum principle is then established for the investigational system equipped with many equality and inequality constraints in fixed final horizon case, owing to the Dubovitskii and Milyutin functional analytical approach. A remark concludes the article with the discussion, which address the utilization of obtained necessary optimality condition.
Acknowledgments
The authors would like to thank the editor and the referees for their very careful reading and constructive suggestions that improve the manuscript substantially.
Disclosure statement
No potential conflict of interest was reported by the author(s).