A PLDS model of pollution in connected water reservoirs
作者： Snezhana P. Kostova
DOI:
关键词: State variable 、 State space 、 Notation 、 Pollution 、 Linear programming 、 Mathematical optimization 、 Admissible set 、 State (functional analysis) 、 Computer science 、 Algorithm 、 Basis (linear algebra)
摘要: In this paper a PLDS (positive linear discrete time system) model of pollution in connected water reservoirs is described. At the beginning, description given: state variables, control, parameters, initial conditions, constraints and some assumptions. On basis these notations dynamics system written matrix form its positive compartmental nature assessed. The real example: five Great Lakes given. State (pollution) describe admissible set space. hit hold problem solved by using programming approach.
参考文章(7)
B James, and Charles K. Taft Reswick, Introduction to Dynamic Systems ,(1967)
V. Rumchev, G. James, Reachability and controllability of compartmental systems. Systems science. ,vol. 26, pp. 5- 13 ,(2000)
Robert J. Plemmons, Abraham Berman, Nonnegative Matrices in the Mathematical Sciences ,(1979)
Lorenzo Farina, Sergio Rinaldi, Positive Linear Systems: Theory and Applications ,(2000)
Tadeusz Kaczorek, Positive 1D and 2D Systems ,(2001)
L. Benvenuti, L. Farina, Linear programming approach to constrained feedback control International Journal of Systems Science. ,vol. 33, pp. 45- 53 ,(2002) , 10.1080/00207720110069122
L. Benvenuti, L. Farina, Positive and compartmental systems IEEE Transactions on Automatic Control. ,vol. 47, pp. 370- 373 ,(2002) , 10.1109/9.983382