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Mathematical Communications, Vol. 16 No. 1, 2011.

Original scientific paper

Stability analysis and periodic optimal control problems for impulsive periodic system

JinRong Wang ; Department of Mathematics, Guizhou University, Guiyang, P.R. China
Xiaoling Xiang ; Department of Mathematics, Guizhou University, Guiyang, P.R. China
Wei Wei ; Department of Mathematics, Guizhou University, Guiyang, P.R. China

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Abstract

In this paper, stability analysis and periodic optimal control
problems for a class of an impulsive periodic system in Banach spaces is considered. Combining exponential stabilizability and impulsive evolution operators, we present the existence of periodic optimal controls without assuming the semigroup is compact or exponentially stable. Finally, an example is given for demonstration.

Keywords

impulsive periodic system; exponential stabilizability; mild solutions; optimal control; existence

Hrčak ID:

68640

URI

https://hrcak.srce.hr/68640

Publication date:

10.6.2011.

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