Contact geometry of the Pontryagin maximum principle

• Tomoki Ohsawa ^[1]
  1. [1] University of Texas at Dallas

     University of Texas at Dallas

     Estados Unidos

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 55, 2015, págs. 1-5
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper gives a brief contact-geometric account of the Pontryagin maximum principle. We show that key notions in the Pontryagin maximum principle — such as the separating hyperplanes, costate, necessary condition, and normal/abnormal minimizers — have natural contact-geometric interpretations. We then exploit the contact-geometric formulation to give a simple derivation of the transversality condition for optimal control with terminal cost.