Singularities of implicit differential systems and maximum principle
Tom 62 / 2003
Banach Center Publications 62 (2003), 117-132
MSC: Primary 57R45; Secondary 58C35, 70H05, 34A26
DOI: 10.4064/bc62-0-8
Streszczenie
The integrability condition for the Lagrangian implicit differential systems of $(TP,\dot \omega )$, introduced in \cite{Ja3}, 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.
