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Advisor(s)
Abstract(s)
We present analytic computational tools that permit us to identify, in an automatic
way, conservation laws in optimal control. The central result we use is the
famous Noether’s theorem, a classical theory developed by Emmy Noether in 1918,
in the context of the calculus of variations and mathematical physics, and which was
extended recently to the more general context of optimal control. We show how a
Computer Algebra System can be very helpful in finding the symmetries and corresponding
conservation laws in optimal control theory, thus making useful in practice
the theoretical results recently obtained in the literature. A Maple implementation
is provided and several illustrative examples given.
Description
Keywords
Optimal control Calculus of variations Computer algebra Noether’s theorem Symmetries Conservation laws
Citation
Gouveia, Paulo D.F.; Torres, Delfim F.M. (2005). Scientific computation of conservation laws in the calculus of variations and optimal control. Cadernos de Matemática. CM05/I-24.