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Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems

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Ansaklis, P. J. and Michel, N. (1997). Linear Systems, McGrow-Hill, New York, NY.Search in Google Scholar

Basile, G. and Marro, G. (1969). Controlled and conditioned invariant subspaces in linear system theory, Journal of Optimization Theory and Applications 3(5): 306-315.10.1007/BF00931370Search in Google Scholar

Basile, G. and Marro, G. (1982). Self-bounded controlled invariant subspaces: A straightforward approach to constrained controllability, Journal of Optimization Theory and Applications 38(1): 71-81.10.1007/BF00934323Search in Google Scholar

Conte, G. and Perdon, A. (1988). A geometric approach to the theory of 2-D systems, IEEE Transactions on Automatics Control AC-33(10): 946-950.10.1109/9.7251Search in Google Scholar

Conte, G., Perdon, A. and Kaczorek, T. (1991). Geometric methods in the theory of singular 2D linear systems, Kybernetika 27(3): 262-270.Search in Google Scholar

Fornasini, E. and Marchesini, G. (1978). Doubly-indexed dynamical systems: State-space models and structural properties, Mathematical System Theory 12: 59-72.10.1007/BF01776566Search in Google Scholar

Kaczorek, T. (1992). Linear Control Systems, Vol. 2, Wiley, New York, NY.Search in Google Scholar

Kaczorek, T. (2001). Positive 1D and 2D Systems, Springer-Verlag, London.10.1007/978-1-4471-0221-2Search in Google Scholar

Kaczorek, T. (2007). Polynomial and Rational Matrices. Applications in Dynamical Systems Theory, Springer-Verlag, London.10.1007/978-1-84628-605-6Search in Google Scholar

Kailath, T. (1980). Linear Systems, Prentice Hall, Englewood Cliffs, NJ.Search in Google Scholar

Karmanciolu, A. and Lewis, F. L. (1990). A geometric approach to 2-D implicit systems, Proceedings of the 29th Conference on Decision and Control, Honolulu, HI, USA.10.1109/CDC.1990.203643Search in Google Scholar

Karmanciolu, A. and Lewis, F. L. (1992). Geometric theory for the singular Roesser model, IEEE Transactions on Automatics Control AC-37(6): 801-806.10.1109/9.256336Search in Google Scholar

Kurek, J. (1985). The general state-space model for a two-dimensional linear digital systems, IEEE Transactions on Automatics Control AC-30(6): 600-602.10.1109/TAC.1985.1103998Search in Google Scholar

Malabre, M., Martínez-García, J. and Del-Muro-Cuéllar, B. (1997). On the fixed poles for disturbance rejection, Automatica 33(6): 1209-1211.10.1016/S0005-1098(97)00043-5Search in Google Scholar

Ntogramatzis, L. (2010). A geometric theory for 2-D systems, Multidimensional Systems and Signal Processing, (submitted).Search in Google Scholar

Roesser, R. P. (1975). A discrete state-space model for linear image processing, IEEE Transactions on Automatic Control AC-20(1): 1-10.10.1109/TAC.1975.1100844Search in Google Scholar

Wonham, W. M. (1979). Linear Multivariable Control: A Geometric Approach, Springer, New York, NY.10.1007/978-1-4684-0068-7Search in Google Scholar

Żak S. (2003). Systems and Control, Oxford University Press, New York, NY.Search in Google Scholar

ISSN:
1641-876X
Lingua:
Inglese
Frequenza di pubblicazione:
4 volte all'anno
Argomenti della rivista:
Mathematics, Applied Mathematics