PERIODIC OPTIMAL CONTROL PROBLEMS GOVERNED BY SEMILINEAR PARABOLIC EQUATIONS WITH IMPULSE CONTROL

PERIODIC OPTIMAL CONTROL PROBLEMS GOVERNED BY SEMILINEAR PARABOLIC EQUATIONS WITH IMPULSE CONTROL

This paper is concerned with periodic optimal control problems governed by semi- linear 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.

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Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2016-05, Vol.36 (3), p.847-862
1. Verfasser: 闫奇媒
Format: Artikel
Sprache:eng
Schlagworte:
35K58
49K20
49N20
Estimates
impulse control
Impulses
Mathematical analysis
Maximum principle
Optimal control
Parabolic differential equations
Pontryagin's maximum principle
Proving
semilinear parabolic equation
估计
半线性抛物型方程
周期
抛物型微分方程
最优控制问题
极大值原理
脉冲控制
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Beschreibung
Zusammenfassung:This paper is concerned with periodic optimal control problems governed by semi- linear 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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30044-3