Fr. 69.00

The Hyperbolic Map and Applications to the Linear Quadratic Regulator

English · Paperback / Softback

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Description

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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.

List of contents

Qualitative dynamics of the hyperbolic iteration map.- General solution derivation for the hyperbolic iteration map.- Appendix A extension to the multidimensional case.- Appendix B some interesting applications of the hyperbolic map.- The linear quadratic regulator - Background.- The linear quadratic regulator under negative Q.- Conclusion.

Product details

Authors Stephen Chicatelli, Stephen P. Chicatelli, Brian Daiuto, Brian J Daiuto, Brian J. Daiuto, Tom Hartley, Tom T Hartley, Tom T. Hartley
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 15.10.2013
 
EAN 9783540967415
ISBN 978-3-540-96741-5
No. of pages 119
Dimensions 165 mm x 242 mm x 8 mm
Weight 235 g
Illustrations VI, 119 p. 2 illus.
Series Lecture Notes in Control and Information Sciences
Lecture Notes in Control and Information Sciences
Subject Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering

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