Regular Maximum Principle in the Time Optimal Control Problems with Time-Varying State Constraint
In this paper the necessary conditions for optimality are obtained for regular solutions of the time optimal control problems with time-varying state constraint. Is constructed an example of time optimal control problem with active time varying state constraint, where the optimal trajectory achieves the boundary of the state constraint infinitely number times, the adjoint function is absolutely continuous, non trivial and at the same time the adjoint system is homogeneous.
Keywords: Optimal Control, State Constraints, Similar Solutions, Maximum Principle
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ABOUT THE AUTHOR
Murad H. Imanov
profesor
Murad H. Imanov
profesor