Singularities of implicit differential systems and maximum principle

Stanisław Janeczko, and Fernand Pelletier. "Singularities of implicit differential systems and maximum principle." Banach Center Publications 62.1 (2003): 117-132. <http://eudml.org/doc/282457>.

@article{StanisławJaneczko2003,
abstract = {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.},
author = {Stanisław Janeczko, Fernand Pelletier},
journal = {Banach Center Publications},
keywords = {Lagrangian implicit differential systems; Lagrangian manifolds; integrability conditions},
language = {eng},
number = {1},
pages = {117-132},
title = {Singularities of implicit differential systems and maximum principle},
url = {http://eudml.org/doc/282457},
volume = {62},
year = {2003},
}

TY - JOUR
AU - Stanisław Janeczko
AU - Fernand Pelletier
TI - Singularities of implicit differential systems and maximum principle
JO - Banach Center Publications
PY - 2003
VL - 62
IS - 1
SP - 117
EP - 132
AB - 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.
LA - eng
KW - Lagrangian implicit differential systems; Lagrangian manifolds; integrability conditions
UR - http://eudml.org/doc/282457
ER -