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Browsing by Subject "water quality control"

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    Item type:Article, Access status: Open Access ,
    Dynamical model of propagation of pollutants in a river
    (Wydawnictwa AGH, 2008) Żołopa, Elżbieta; Grabowski, Piotr
    In this paper a dynamical model of propagation of pollutants in a river with $M$ point controls in the form of aerators and $K$ point measurements is being transformed to an abstract model on a suitably chosen Hilbert space. Our model belongs to the class of abstract models of the factor-type. It is shown that the semigroup generated by the state operator $A$ has a property of decaying in a finite-time, the observation operator is admissible, and the system transfer function is in the space $H^{\infty}$ ($\mathbb{C}^{+}$, $L(\mathbb{C}^{M}, \mathbb{C}^{K})$). In the final part we also formulate the LQ problem with infinite-time horizon.