Slides Framework
    • The plenary talk has been canceled
      (6 March 2020)
      The workshop has been cancelled
      (16 March 2020)

  • Plenary Speaker

    Professor Pierluigi Colli

    Dipartimento di Matematica, "F. Casorati"
    Università di Pavia, Italy

    Title

    Sliding mode control for some PDE systems

    Abstract

    The talk will address the sliding mode control (SMC) problem for some phase-field systems. In a first part, we will discuss a model of Caginalp type and some variation of it. The well-posedness and some regularity results for the phase-field systems modified by the state-feedback control laws will be discussed. Next, we will also consider consider a diffuse interface tumor growth model coupling a viscous Cahn-Hilliard type equation for the phase variable with a reaction-diffusion equation for the nutrient. Similarly, well-posedness and regularity for the modified state system will be recalled. Then, we show that the chosen SMC laws force the systems to reach within finite time a sliding manifold (that we suitably chose). Three different types of feedback control laws are treated, involving a linear combination of the variables or just regarding the phase relation, and leading the phase onto a prescribed target. While the control law is non-local in space for the first two cases, it is local for the third one, i.e., its value at any point and any time just depends on the value of the state.

  • Perspectives in Applied PDEs: a day in Kyoto

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Venue

  • Kyoto University of Education

    1 Fujinomori, Fukakusa, Fushimi-ku, Kyoto, 612-8522, Japan

  • Room 1A402

  • KUE


Organizers

  • Ken Shirakawa

    Chiba University

  • Takeshi Fukao

    Kyoto University of Education

Perspectives in Applied PDEs: a day in Kyoto