Acta mathematica scientia, Series B >
PERIODIC OPTIMAL CONTROL PROBLEMS GOVERNED BY SEMILINEAR PARABOLIC EQUATIONS WITH IMPULSE CONTROL
Received date: 2015-02-26
Revised date: 2015-11-23
Online published: 2016-06-25
Supported by
This work was partially supported by the National Science Foundation of China (11371285).
This paper is concerned with periodic optimal control problems governed by semilinear parabolic differential equations with impulse control. Pontryagin's maximum principle is derived. The proofs rely on a unique continuation estimate at one time for a linear parabolic equation.
Qishu YAN . PERIODIC OPTIMAL CONTROL PROBLEMS GOVERNED BY SEMILINEAR PARABOLIC EQUATIONS WITH IMPULSE CONTROL[J]. Acta mathematica scientia, Series B, 2016 , 36(3) : 847 -862 . DOI: 10.1016/S0252-9602(16)30044-3
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