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H 1 Dissipativity in nonautonomous linear-quadratic control processes

Auteurs : Núñez, Carmen (Auteur de la Conférence)
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 :
    49N10 - Linear-quadratic problems
     93C15 - Control systems governed by ODE
     37B55 - Nonautonomous dynamical systems
      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 07/04/16
      Date de captation : 22/03/16
      Collection : Research talks ; Control Theory and Optimization ; Dynamical Systems and Ordinary Differential Equations
      Format : MP4
      Durée : 00:28:19
      Domaine : Dynamical Systems & ODE ; Control Theory & Optimization
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2016-03-22_Nunez.mp4
    Informations sur la rencontre

    Nom de la rencontre : Dynamics of evolution equations / Systèmes dynamiques et problèmes d'évolution
    Organisateurs 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

    Citation Data

    DOI : 10.24350/CIRM.V.18949403
    Cite this video as: 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

    Bibliographie

    1. 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

    2. 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

    3. 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

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