Control of Partial Differential Equations

  • Krishnaswamy, Vijayaraghavan (Project Manager)

    Project Details

    Description

    The aim of this project is to
    study the control of systems
    described by bilinear and
    semilinear partial
    differential equations
    (PDEs). These PDEs could for
    example describe the
    propagation waves or the
    temperature profile of a
    body. Controllability is the
    property of being able to
    drive a system to a desired
    state in finite time. The
    essential ingredient in the
    analysis of controllability
    problems is obtaining
    estimates for the energy of
    these systems. These energy
    estimates are then combined
    with the Hilbert Uniqueness
    Method, Fixed Point Theorems
    and the Generalized Inverse
    Function Theorem in order to
    obtain controllability
    results.
    StatusFinished
    Effective start/end date01/03/199531/05/1998