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Browsing by Subject "exact controllability"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Controllability of semilinear systems with fixed delay in control
    (2015) Kumar, Surendra; Sukavanam, N.
    In this paper, different sufficient conditions for exact controllability of semilinear systems with a single constant point delay in control are established in infinite dimensional space. The existence and uniqueness of mild solution is also proved under suitable assump­tions. In particular, local Lipschitz continuity of a nonlinear function is used. To illustrate the developed theory some examples are given.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    On properties of minimizers of a control problem with time-distributed functional related to parabolic equations
    (Wydawnictwa AGH, 2019) Astašova, Irina Viktorovna; Filinovskij, Aleksej Vladislavovič
    We consider a control problem given by a mathematical model of the temperature control in industrial hothouses. The model is based on one-dimensional parabolic equations with variable coefficients. The optimal control is defined as a minimizer of a quadratic cost functional. We describe qualitative properties of this minimizer, study the structure of the set of accessible temperature functions, and prove the dense controllability for some set of control functions.