IJPAM: Volume 59, No. 1 (2010)
Department of Mathematics (Pure and Applied)
P.O. Box 94, Grahamstown, 6140, SOUTH AFRICA
Abstract.In this paper we are concerned with the extremal curves of the Hamilton-Poisson dynamical systems associated with a certain class of invariant optimal control problems on matrix Lie groups. Explicit computations are done in a special case.
Received: September 10, 2009
AMS Subject Classification: 49J15, 22E60, 93B29, 33E05
Key Words and Phrases: left-invariant control system, optimal control, Hamilton-Poisson dynamical system, elliptic function
Source: International Journal of Pure and Applied Mathematics