

Problems of Mathematical Control Theory
March 13, 2015 15:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)






On the maximum principle for impulsive optimal control problems with infinite time horizon
A. Belyakov^{}, A. Seidl^{}, G. Tragler^{} 
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Abstract:
We consider optimality conditions for impulsive control problems, where time horizon is infinite and, besides timecontinuous control, the timeinstances and values of system trajectory jumps are chosen optimally. The maximum principle, including transversality condition, is proved for the concept of weakly overtaking optimality allowing for both finite and infinite values of objective functional. The special case of a periodic optimal solution is considered with an illustrative example.

