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1 2003

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Positive linear dynamic model of mobile source air pollution and problems of control

Rumchev V.G., Caccetta L., Kostova S.

Systems Science

2003

Vol. 29, nr 1

31-46

A dynamic model of mobile source air pollution (MSAP) is developed in this paper. The model exhibits positive linear system behaviour. One of its specific features is that the system is restricted to evolve in a given polyhedral region in the state space in order to keep the total emissions from the vehicles within the allowed levels. Three problems of control namely maintainability, finite-time holdability and feedback holdability are formulated and the corresponding solution procedures developed in the paper. A policy implementing the solutions to these problems leads to sustainable levels of the total emissions. Our method can be immediately used to support the decision making process of regional and state environmental authorities.