Title :
Optimal control and the full Toda flow
Author :
Bloch, Anthony M. ; Crouch, Peter E.
Author_Institution :
Dept. of Math., Michigan Univ., Ann Arbor, MI, USA
Abstract :
In this paper we define an optimal control problem which yields extremals that satisfy the full Toda lattice equations. Since the full (nontridiagonal) Toda lattice equations are integrable, this is an explicitly solvable optimal control problem. We also show that the system is defined on the cotangent bundle of the lower triangular matrices in a form originally due to Symes (1980)
Keywords :
Toda lattice; Lie algebra; Toda flow; Toda lattice equations; dynamics; kinematics; optimal control; triangular matrices; Algorithm design and analysis; Boundary conditions; Equations; Lattices; Mathematics; Nearest neighbor searches; Optimal control; Sorting; Symmetric matrices; Systems engineering and theory;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657806
