Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
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.
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The Hyperbolic Map and Applications to the Linear Quadratic Regulator (Lecture Notes in Control and Information Sciences, 110)
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The Hyperbolic Map and Applications to the Linear Quadratic Regulator
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Springer Berlin Heidelberg, 1989
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 . Codice articolo 4902342
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The Hyperbolic Map and Applications to the Linear Quadratic Regulator
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 128 pp. Englisch. Codice articolo 9783540967415
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The Hyperbolic Map and Applications to the Linear Quadratic Regulator
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 128 pp. Englisch. Codice articolo 9783540967415
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The Hyperbolic Map and Applications to the Linear Quadratic Regulator
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Springer, Springer Vieweg, 1989
ISBN 10: 3540967419
ISBN 13: 9783540967415
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783540967415
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