English
Dissipativity in nonautonomous linear-quadratic control processes
Multi angle
Auteurs : Núñez, Carmen (Auteur de la Conférence)
CIRM (Editeur )
49N10 - Linear-quadratic problems
93C15 - Control systems governed by ODE
37B55 - Nonautonomous dynamical systems
CIRM (Editeur )
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Résumé :
This talk concerns the concept of dissipativity in the sense of Willems for nonautonomous linear-quadratic (LQ) control systems. A nonautonomous system of Hamiltonian ODEs can be associated with such an LQ system, and the analysis of the corresponding symplectic dynamics provides valuable information on the dissipativity properties. The presence of exponential dichotomy, the occurrence of weak disconjugacy, and the existence of nonnegative solutions of the Riccati equation provided by the Hamiltonian system are closely related to the presence of (normal or strict) dissipativity and to the definition of the (normal or strong) storage functions.
This is a joint work with: Roberta Fabbri, Russell Johnson, Sylvia Novo and Rafael Obaya.
Codes MSC : This is a joint work with: Roberta Fabbri, Russell Johnson, Sylvia Novo and Rafael Obaya.
49N10 - Linear-quadratic problems
93C15 - Control systems governed by ODE
37B55 - Nonautonomous dynamical systems
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 07/04/16 Date de captation : 22/03/16 Sous collection : Research talks arXiv category : Optimization and Control ; Dynamical Systems Domaine : Dynamical Systems & ODE ; Control Theory & Optimization Format : MP4 (.mp4) - HD Durée : 00:28:19 Audience : Researchers Download : https://videos.cirm-math.fr/2016-03-22_Nunez.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Dynamics of evolution equations / Systèmes dynamiques et problèmes d'évolutionOrganisateurs de la rencontre : Joly, Romain ; Raugel, Geneviève ; Yi, Yingfei Dates : 21/03/16 - 25/03/16 Année de la rencontre : 2016 URL Congrès : http://conferences.cirm-math.fr/1335.html
Données de citation
DOI : 10.24350/CIRM.V.18949403Citer cette vidéo: Núñez, Carmen (2016). Dissipativity in nonautonomous linear-quadratic control processes. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18949403 URI : http://dx.doi.org/10.24350/CIRM.V.18949403 |
Voir aussi
- [Multi angle] Geometric control and dynamics / Auteur de la Conférence Rifford, Ludovic.
- [Multi angle] Dichotomy, the closed range theorem and optimal control / Auteur de la Conférence Brunovsky, Pavel.
- [Multi angle] Dynamics of bounded solutions of parabolic equations on the real line - Part 1 / Auteur de la Conférence Polacik, Peter.
- [ Post-edited] Perturbative techniques of the dynamics in the $C^1$-topology / Auteur de la Conférence Crovisier, Sylvain.
Bibliographie
- Fabbri, R., Johnson, R., Novo, S., & Núñez, C. (2013). On linear-quadratic dissipative control processes with time-varying coefficients. Discrete and Continuous Dynamical Systems, 33(1), 193-210 - http://dx.doi.org/10.3934/dcds.2013.33.193
- Johnson, R., Núñez, C., & Obaya, R. (2013). Dynamical methods for linear Hamiltonian systems with applications to control processes. Journal of Dynamics and Differential Equations, 25(3), 679-713 - http://dx.doi.org/10.1007/s10884-013-9300-y
- Johnson, R., Obaya, R., Novo, S., Núñez, C., & Fabbri, R. (2016). Nonautonomous linear Hamiltonian systems: oscillation, spectral theory and control. Cham: Springer - http://dx.doi.org/10.1007/978-3-319-29025-6
