DocumentCode
391269
Title
Implicit Lagrangian equations and the mathematical modeling of physical systems
Author
Moreau, Luc ; Van Der Schaft, Arjan J.
Author_Institution
SYSTeMS, Ghent Univ., Belgium
Volume
2
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
1651
Abstract
We introduce a class of optimal control problems on manifolds which gives rise (via the Pontryagin maximum principle) to a class of implicit Lagrangian systems (a notion which is introduced in the paper). We apply this to the mathematical modeling of interconnected mechanical systems and mechanical systems with singularities.
Keywords
dynamics; interconnected systems; maximum principle; Dirac structures; Hamiltonian dynamics; Lagrangian dynamics; Pontryagin maximum principle; implicit Lagrangian equations; interconnected mechanical systems; manifolds; mathematical modeling; physical systems; singularities; Capacitors; Control systems; Control theory; Equations; Integrated circuit interconnections; Lagrangian functions; Mathematical model; Mechanical systems; Power engineering and energy; Systems engineering and theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184757
Filename
1184757
Link To Document