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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| Veröffentlicht in: | Acta mathematica scientia 2016-05, Vol.36 (3), p.847-862 |
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| container_title | Acta mathematica scientia |
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| creator | 闫奇媒 |
| description | 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. |
| doi_str_mv | 10.1016/S0252-9602(16)30044-3 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0252-9602 |
| ispartof | Acta mathematica scientia, 2016-05, Vol.36 (3), p.847-862 |
| issn | 0252-9602 1572-9087 |
| language | eng |
| recordid | cdi_wanfang_journals_sxwlxb_e201603017 |
| source | Elsevier ScienceDirect Journals; Alma/SFX Local Collection |
| subjects | 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 |
| title | PERIODIC OPTIMAL CONTROL PROBLEMS GOVERNED BY SEMILINEAR PARABOLIC EQUATIONS WITH IMPULSE CONTROL |
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