Czasopismo |
Bulletin of the Polish Academy of Sciences. Technical Sciences |
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Tytuł artykułu |
Stability of positive linear discrete-time systems |
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Autorzy | James, G. Rumchev, V. | |||||||
Treść / Zawartość | http://bulletin.pan.pl/ http://journals.pan.pl/dlibra/journal/95347 http://www.degruyter.com/view/j/bpasts | |||||||
Warianty tytułu |
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Języki publikacji | EN | |||||||
Abstrakty |
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Słowa kluczowe |
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Wydawca |
Polska Akademia Nauk, Wydział IV Nauk Technicznych |
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Czasopismo | Bulletin of the Polish Academy of Sciences. Technical Sciences | |||||||
Rocznik | 2005 | |||||||
Tom | Vol. 53, nr 1 | |||||||
Strony | 1--8 | |||||||
Opis fizyczny | Bibliogr. 22 poz. | |||||||
Twórcy |
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Bibliografia |
[1] D.J.G. James and V.G. Rumchev, “Cohort-type models and their reachability and controllability properties”, Systems Science 26, 43–54 (2000).
[2] D.J.G. James and V.G.Rumchev, “Reachability and controllability of compartmental systems”, Systems Science 26, 5–13 (2000). [3] D.J.G. James and V.G. Rumchev, “A fractional-flow model of serial manufacturing systems with rework and its reachability and controllability properties”, Systems Science 27, 49–59 (2001). [4] D.J.G. James and V.G. Rumchev, “Controlled balanced growth of robot population”, Proceedings 9th International Symposium on Artificial Life and Robotics, (ed: M. Sugisaka and H. Tanaka), Beppu, Japan, 2, 622–628 (2004). [5] D.G. Luenberger, Introduction to Dynamical Systems, Wiley, New York, 1979. [6] V.G. Rumchev, L. Caccetta and S. Kostova, “Positive linear dynamic model of mobile source of pollution and problems of control”, Proceedings of 16th International Conference Systems Engineering, (ed: K.J. Burnham and O.C.L. Haas), Coventry University, Coventry 2, 602–607 (2003). [7] V.G. Rumchev and D.J.G. James, “The role of nonnegative matrices in discrete-time mathematical modeling”, International Journal Mathematical Education in Science and Technology 21, 161–182 (1990). [8] H. Minc, Non-negative Matrices, John Wiley & Sons, NY, 1988. [9] L. Farina and S. Rinaldi, Positive Linear Systems – Theory and Applications, John Wiley & Sons, NY, 2000. [10] T. Kaczorek, Positive 1D and 2D Systems, Springer, London, 2002. [11] A. Graham, Non-negative Matrices and Applicable Topics in Linear Algebra, Ellis Horwood, Chichester, UK, 1988. [12] A. Berman and R. Plemmons, Non-negative Matrices in the Mathematical Sciences, SIAM: Classics in Applied Mathematics, Philadelphia, 1994. [13] H. Wieland, “Unzerlegbare nicht negtiven matrizen”, Mathematisce Zeitschrift 52, 642–648 (1950). [14] V.G. Rumchev and D.J.G. James, “Controllability of positive linear discrete-time systems”, International Journal of Control 50, 45–857 (1989). [15] S. Muratori and S. Rinaldi, “Excitability, stability and sign of the equilibria in positive linear systems”, Systems and Control Letters 16, 59–63 (1991). [16] V.G. Rumchev and D.J.G. James, “Spectral characterization of pole-assignment for positive linear discrete-time systems”, International Journal of Systems Science 16, 295–312 (1995). [17] R.A. Horn and C.A. Johnson, Matrix Analysis, Cambridge Press, Cambridge, UK 1985. [18] R. Bhatia, L. Elsner and G. Krause, “Bounds for the variation of the roots of a polynomial and eigenvalues of a matrix”, Linear Algebra and its Applications 142, 195–209 (1990). [19] M. Haviv, Y. Ritov and U.G. Rothblum, “Iterative methods for approximating the subdominant modulus of an eigenvalue of a nonnegative matrix”, Linear Algebra and its Applications 87, 61–75 (1987). [20] T.S. Leong, “A note on upper bounds on the maximum modulus of subdominant eigenvalues of nonnegative matrices”, Linear Algebra and its Applications 106, 1–4 (1988). [21] H. Wolkowicz and G.P.H. Styan, “Bounds for eigenvalues using traces”, Linear Algebra and its Applications 29, 471–506 (1980). [22] V.G. Rumchev and J. Adeane, “Reachability and controllability of discrete-time positive linear systems”, Control and Cybernetics 33, 85–94 (2004). |
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Kolekcja | BazTech | |||||||
Identyfikator YADDA | bwmeta1.element.baztech-article-BPG5-0005-0042 | |||||||
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