Abstract
In this paper a PLDS (positive linear discrete time system) model of pollution in connected water reservoirs is described. At the beginning, the description of the model is given: state variables, control, parameters, initial conditions, constraints and some assumptions. On the basis of these notations the dynamics of the system is written in matrix form and its positive and compartmental nature is assessed. The real example: five Great Lakes is given. State (pollution) constraints describe the admissible set in the state space. The hit and hold problem is solved by using linear programming approach.
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Kostova, S.P. A PLDS Model of Pollution in Connected Water Reservoirs. In: Benvenuti, L., De Santis, A., Farina, L. (eds) Positive Systems. Lecture Notes in Control and Information Science, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44928-7_35
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DOI: https://doi.org/10.1007/978-3-540-44928-7_35
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40342-5
Online ISBN: 978-3-540-44928-7
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