The Hyperbolic Map and Applications to the Linear Quadratic Regulator

Daiuto Brian J. Hartley Tom T. Chicatelli Stephen P.

ISBN 10: 3540967419 / ISBN 13: 9783540967415

Published by Springer, 1989

About this Item

PRINT ON DEMAND pp. 128.

Seller Inventory # 18128739911

Bibliographic Details

• Title: The Hyperbolic Map and Applications to the Linear Quadratic Regulator
• Publisher: Springer
• Publication Date: 1989
• Language: English
• ISBN 10: 3540967419
• ISBN 13: 9783540967415
• Binding: Soft cover
• Condition: New

About this title

Synopsis

This research monograph gives a complete discussion of the theory of the discrete-time hyperbolic map. Both scalar and matrix representations are considered. The dynamics of the map are analyzed and discussions of stability, quasiperiodicity, and chaos are included. Several applications are discusssed, the most important being the discrete-time linear time-invariant quadratic regulator. The results obtained from this analysis are then extended to the continuous-time linear regulator. A discussion of the linear quadratic regulator with negative state weighting provides some important insights into the general regulator theory. The results contained in this monograph should be accessible to the first year graduate student or advanced senior undergraduate. Interested readers should also have a background in ODE's, difference equations, optimization theory, and/or digital control theory.