Nondegenerate Necessary Conditions for Optimal Impulsive Control Problems with State Constraints

A free time impulsive control problem with state constraints and equality and inequality constraints on the trajectory endpoints is considered in this article. After presenting an appropriate solution concept, necessary conditions of optimality in the form a Maximum Principle are stated. An essential feature of these conditions is that they do not degenerate, i.e., they remain informative even for abnormal control processes. These conditions are derived by using a penalty function method.

Authors
Arutyunov A. 1 , Karamzin D.2 , Pereira F.3
Conference proceedings
Proceedings of the IEEE Conference on Decision and Control
Language
English
Pages
233-238
Status
Published
Volume
1
Year
2003
Organizations
  • 1 Differential Equations Dept., Peoples Friendship Univ. of Russia, 6, Mikluka-Maklai St., Moscow 117198, Russian Federation
  • 2 Department of Calculus Mathematics, Moscow State University, Vorob'yovi gory, Moscow 119899, Russian Federation
  • 3 Institute for Systems and Robotics, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal
Keywords
Constraint theory; Differential equations; Functions; Integration; Mathematical models; Problem solving; Optimal impulsive control problems; State constraints; Optimal control systems
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