DocumentCode
321378
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
Volume
2
fYear
1997
fDate
10-12 Dec 1997
Firstpage
1736
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location
San Diego, CA
ISSN
0191-2216
Print_ISBN
0-7803-4187-2
Type
conf
DOI
10.1109/CDC.1997.657806
Filename
657806
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