Variational analysis and optimal control of the sweeping process

<p>We formulate and study an optimal control problem for the sweeping(Moreau) process, where control functions enter the moving sweeping</p> <p>set. To the best of our knowledge, this is the first study in the literature devoted to optimal control of the sweeping process. We first establish an existence theorem of optimal solutions and then derive necessary optimality conditions for this optimal control problem of a new type, where the dynamics is governed by discontinuous differential inclusions with variable right-hand sides. Our approach to necessary optimality conditions is based on the method of discrete approximations and advanced tools of variational analysis and generalized differentiation. The final results obtained are given in terms of the initial data of the controlled sweeping process and are illustrated by nontrivial examples.</p>

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Open Access Dissertation

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2011

Author dc:creator

• Nguyen, Hoang Dinh

Contributors dc:contributor

• Boris S. Mordukhovich

• discrete approximations
• dissipative differential inclusions
• generalized differentiation
• optimal control
• sweeping process
• variational analysis
• Mathematics

Repository record dc:identifier

https://digitalcommons.wayne.edu/oa_dissertations/325

OAI identifier oai:identifier

oai:digitalcommons.wayne.edu:oa_dissertations-1324