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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Hyperbolic Map and Applications to the Linear Quadratic Regulator

The Hyperbolic Map and Applications to the Linear Quadratic Regulator

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

Paperback

Series: Lecture Notes in Control and Information Sciences, Book 110

Technology & EngineeringGeneral Science

ISBN10: 3540967419
ISBN13: 9783540967415
Publisher: Springer Nature
Published: Nov 20 1989
Pages: 119
Weight: 0.48
Height: 0.27 Width: 6.69 Depth: 9.61
Language: English
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.

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