Maximum principle in problems with mixed constraints under weak assumptions of regularity

In the present work, optimal control problems with mixed constraints are investigated. A novel weakening of the conventional regularity assumptions on mixed constraints is introduced. A maximum principle is derived in which the maximum condition is of nonstandard type: the maximum is taken over the closure of the set of regular points, but not over the whole feasible set. © 2010 Taylor & Francis.

Authors
Arutyunov A.V. 1 , Karamzin D.Y.2 , Pereira F.L. 3
Journal
Number of issue
7
Language
English
Pages
1067-1083
Status
Published
Volume
59
Year
2010
Organizations
  • 1 Department of Nonlinear Analysis and Optimization, People's Friendship University of Russia, Miklukho-Maklaja street, 6, Moscow, Russian Federation
  • 2 Computing Center of RAS, Vavilova street, 40, Moscow, Russian Federation
  • 3 Faculdade de Engenharia da Universidade do Porto, University of Porto, rua Roberto Frias, Porto, Portugal
Keywords
Maximum principle; Mixed constraints; Optimal control
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