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Abstrakty
In this paper properties of M-matrices are used to develop procedures to ensure that a positive discrete-time linear system achieves a specified desired balanced growth rate. Both closed-loop and open-loop control procedures are considered, with state feedback being adopted for implementing the closed-loop control. Procedures developed are illustrated by simple examples.
Czasopismo
Rocznik
Tom
Strony
5--14
Opis fizyczny
Bibliogr. 21 poz.,
Twórcy
autor
- Department of Mathematics, Curtin University of Technology, Perth, WA 6845, Australia
autor
- Control Theory and Appliations Centre, Coventry University Coventry, CV15FB, UK
Bibliografia
- [1] Farina L., Rinaldi S., Positive Linear Systems: Theory and Applications, Wiley. New York 2000.
- [2] Berman A., Neumann M., Stern R. J., Non-negative Matrices in Dynamic Systems, Wiley, New York 1989.
- [3] Kaczorek T., Positive ID and 2D Systems, Springer, London 2002.
- [4] Rouhani R., Tse E., Structural design for classes of positive linear systems, IEEE Trans. on Systems, Man and Cybernetics, SMC-II, 1981, 126-134.
- [5] Destrochers A. S., Al-Jaar R. Y., Applications of Petri Nets in Manufacturing Systems: Modelling, Control and Performance Analysis, IEEE Control Systems Society Press, New York 1995.
- [6] James G., Rumchev V., A fractional-flow model of serial manufacturing systems with rework and its reachability and controllability properties. Systems Science, 27, 2, 2001, 49-59.
- [7] Caccetta L., Foulds S L. R., Rumchev V. G., A positive linear discrete-time system model of capacity planning and its controllability properties. Mathematical and Computer Modelling, to appear, 2003.
- [8] Luenburger D. G., Introduction to Dynamical Systems: Theory, Models and Applications, Wiley New York 1979.
- [9] Jacques J. A., Simon C. P., Qualitative theory of compartmental systems, SIAM Review, 35, 1993 43-79.
- [10] Van der Hof J., Positive linear observers for linear compartmental systems, SIAM Journal on Control and Optimization, 38, 2, 1998, 590-608.
- [11] James G., Rumchev V., Reachability and controllability of compartmental systems. Systems Science,26, 1,2000, 5-13.
- [12] James D. J. G., Kostova S. P., Rumchev V. G., Pole-assignment for a class of positive linea. systems. Int. J. Systems Science, 32. 12, 2001, 1377-1388.
- [14] Leontief W. W., Quantitative input and output relations in the economic system of the Unite States, Rev. Econ. Statist., 18, 1936, 100-125.
- [15] Leontief W. W., input-Output Economics, Oxford Univ. Press, London 1966.
- [16] Gandolfo G., Economic Dynamics: Methods and Models, Elsevier, New York 1985.
- [17] James D. J. G., Rumchev V. G., Robot populations and their controlled evolution, Artif. Life an Robotics. 4, 2000, 137-142.
- [18] Rumchev V. G., James D. J. G., The role of non-negative matrices in discrete-time mathematica modelling. Int. J. Math. Educ. Sci. Technol., 21,2, 1990, 169-182.
- [19] James D. J. G., Rumchev V. G., Linear-feedback recruitment policies for constant size manpower systems, IMA J. Mathematics Applied in Business and Industry, 6, 1990, 313-328.
- [20] Minc H., Nonnegative Matrices, John Wiley, Canada 1988.
- [21] Berman A., Plemmons R., Nonnegative Matrices in Mathematical Sciences, SIAM , Philadelphia 1994.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BPW4-0002-0098