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Dichotomy, the closed range theorem and optimal control
Multi angle
Authors : Brunovsky, Pavel (Author of the conference)
CIRM (Publisher )
34H05 - ODE in connection with control problems
49K15 - Optimal control problems with ODE (optimality conditions)
93C15 - Control systems governed by ODE
CIRM (Publisher )
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Abstract :
Necessary conditions for infinite horizon optimal controls problem can be obtained by the alternative theorem. This theorem requires that the range of a shift operator on a functional space is closed. It will be shown that this is the case if the dynamics of the problem is hyperbolic but may fail to be so if it is not.
MSC Codes : 34H05 - ODE in connection with control problems
49K15 - Optimal control problems with ODE (optimality conditions)
93C15 - Control systems governed by ODE
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 07/04/16 Conference Date : 22/03/16 Subseries : Research talks arXiv category : Optimization and Control ; Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE ; Control Theory & Optimization Format : MP4 (.mp4) - HD Video Time : 00:26:21 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-03-22_Brunovsky.mp4 
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Information on the Event
Event Title : Dynamics of evolution equations / Systèmes dynamiques et problèmes d'évolutionEvent Organizers : Joly, Romain ; Raugel, Geneviève ; Yi, Yingfei Dates : 21/03/16 - 25/03/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1335.html
Citation Data
DOI : 10.24350/CIRM.V.18949803Cite this video as: Brunovsky, Pavel (2016). Dichotomy, the closed range theorem and optimal control. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18949803 URI : http://dx.doi.org/10.24350/CIRM.V.18949803 |
See Also
- [Multi angle] Geometric control and dynamics / Author of the conference Rifford, Ludovic.
- [Multi angle] Dissipativity in nonautonomous linear-quadratic control processes / Author of the conference Núñez, Carmen.
- [Multi angle] Dynamics of bounded solutions of parabolic equations on the real line - Part 1 / Author of the conference Polacik, Peter.
- [Post-edited] Perturbative techniques of the dynamics in the $C^1$-topology / Author of the conference Crovisier, Sylvain.
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