The Hyperbolic map and applications to the linear quadratic regulator
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 discusss...
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| Autors principals: | , , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in control and information sciences
110 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Hyperbolic Map and Applications to the Linear Quadratic Regulator, Texte imprimé, 9783540967415 • The Hyperbolic Map and Applications to the Linear Quadratic Regulator, Texte imprimé, 9783662215036 |
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| 100 | 1 | |a Daiuto, Brian J. | |
| 245 | 1 | 0 | |a The Hyperbolic map and applications to the linear quadratic regulator |c B. J. Daiuto, T. T. Hartley, S P. Chicatelli. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in control and information sciences |v 110 |x 1610-7411 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Théorie de la commande | ||
| 650 | |a Applications (mathématiques) | ||
| 650 | |a Ingénierie | ||
| 650 | |a Calcul des variations | ||
| 700 | 1 | |a Hartley, Tom T, |d 1964- |4 aut | |
| 700 | 1 | |a Chicatelli, Stephen P., |d 1964- |4 aut | |
| 776 | 0 | |t The Hyperbolic Map and Applications to the Linear Quadratic Regulator |b Texte imprimé |z 9783540967415 | |
| 776 | 0 | |t The Hyperbolic Map and Applications to the Linear Quadratic Regulator |b Texte imprimé |z 9783662215036 | |
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