Singularities of implicit differential systems and maximum principle

• Autorzy: Stanisław Janeczko , Fernand Pelletier
• Języki publikacji: EN

Abstrakty

EN

The integrability condition for the Lagrangian implicit differential systems of (TP,ω̇), introduced in [7], is applied for the specialized control theory systems. The Pontryagin maximum principle was reformulated in the framework of implicit differential systems and the corresponding necessary and sufficient conditions were proved. The beginning of the classification list of normal forms for Lagrangian implicit differential systems according to the symplectic equivalence is provided and the corresponding differential caustics are calculated.

Kategorie tematyczne

• 58C35: Integration on manifolds; measures on manifolds
• 34A26: Geometric methods in differential equations
• 70H05: Hamilton's equations
• 57R45: Singularities of differentiable mappings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 62
• Numer: 1
• Strony: 117-132

Daty

wydano

2003

Twórcy

autor

Stanisław Janeczko

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O.B. 21, 00-956 Warszawa, Poland
• Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland

autor

Fernand Pelletier

• Université de Savoie, LAMA Campus Scientifique, 73 376 Le Bourget du Lac, France

Identyfikatory

DOI

10.4064/bc62-0-8