Pontryagin's maximum principle for optimal control of a non-well-posed parabolic differential equation involving a state constraint

• Autores: Mi Jin Lee, Jong Yeoul Park
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 46, Nº 2, 2004, págs. 171-184
• Idioma: inglés
• DOI: 10.1017/s1446181100013778
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• Resumen

  • In this paper, we study Pontryagin's maximum principle for some optimal control problems governed by a non-well-posed parabolic differential equation. A new penalty functional is applied to derive Pontryagin's maximum principle and an application for this system is given.