Max-Plus methods for nonlinear control and estimation
The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity...
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| Main Author: | |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2006. |
| Series: | Systems & Control: Foundations & Applications
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| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Description d'après consultation du 11 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Max-plus methods for nonlinear control and estimation, William M. McEneaney, Boston, Birkhäuser, 2006, 1 vol. (XIII-241 p.), Systems and control, 0-8176-3534-3 • Max-Plus Methods for Nonlinear Control and Estimation, Texte imprimé, 9780817670474 • Max-plus methods for nonlinear control and estimation, William M. McEneaney, Boston, Birkhäuser, 2006, 1 vol. (XIII-241 p.), Systems and control, 0-8176-3534-3 |
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| 100 | 1 | |a McEneaney, William M., |d 1957- | |
| 245 | 1 | 0 | |a Max-Plus methods for nonlinear control and estimation |c William M. McEneaney. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Systems & Control: Foundations & Applications |x 2324-9757 | |
| 500 | |a Description d'après consultation du 11 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [233]-238. Index | ||
| 505 | 1 | |a Max-Plus Analysis Dynamic Programming and Viscosity Solutions Max-Plus Eigenvector Method for the Infinite Time-Horizon Problem Max-Plus Eigenvector Method Error Analysis A Semigroup Construction Method Curse-of-Dimensionality-Free Method Finite Time-Horizon Application: Nonlinear Filtering Mixed L?/L2 Criteria | |
| 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 The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality. Well-known dynamic programming arguments show there is a direct relationship between the solution of a control problem and the solution of a corresponding Hamilton Jacobi Bellman (HJB) partial differential equation (PDE). The max-plus-based methods examined in this monograph belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated HJB PDEs; they are not equivalent to either of the more commonly used finite element or characteristic approaches. The potential advantages of the max-plus-based approaches lie in the fact that solution operators for nonlinear HJB problems are linear over the max-plus algebra, and this linearity is exploited in the construction of algorithms. The book will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods. Researchers and practitioners tangentially interested in this area will also find a readable, concise discussion of the subject through a careful selection of specific chapters and sections. Basic knowledge of control theory for systems with dynamics governed by differential equations is required | ||
| 650 | |a Commande non linéaire | ||
| 650 | |a Matrices | ||
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| 776 | 0 | |t Max-Plus Methods for Nonlinear Control and Estimation |b Texte imprimé |z 9780817670474 | |
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