Brief communications

Optimality conditions in a problem of linear controlled system with bilinear functional

E. V. Aksenyushkina

Baikal State University, 11 Lenina str., Irkutsk, 664003 Russia

Abstract: We consider a problem of optimization of a linear controlled system with a bilinear-modular functional with a penalty type parameter. Based on the notion of strongly extremal control we formulate sufficient optimality conditions. The results are presented in the form of inequalities for functions in one variable with explicit dependence on the parameters of the problem. We adduce illustrative examples.

Keywords: bilinear control problem, maximum principle, sufficient optimality conditions.

UDC: 517.97

Received: 13.03.2018

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:7, 53–57

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