On the Realization Theory of Polynomial Matrices and the Algebraic Structure of Pure Generalized State Space Systems
By: Antonis-Ioannis Vardulakis, Nicholas Karampetakis, Efstathios Antoniou and Evangelia Tictopoulou
Open Access
|Apr 2009References
- Bosgra, O. and Van Der Weiden, A. (1981). Realizations in generalized state-space form for polynomial system matrices and the definitions of poles, zeros and decoupling zeros at infinity, International Journal of Control 33(3): 393-411.
- Christodoulou, M. and Mertzios, B. (1986). Canonical forms for singular systems, Proceedings of the of 25th IEEE Conference on Decision and Control (CDC), Athens, Greece, pp. 2142-2143.
- Cobb, D. (1984). Controllability, observability, and duality in singular systems, IEEE Transactions on Automatic Control 29(12): 1076-1082.
- Conte, G. and Perdon, A. (1982). Generalized state space realizations of non-proper rational transfer functions, Systems and Control Letters 1(4): 270-276.
- Gantmacher, F. (1959). The Theory of Matrices, Chelsea Publishing Company, New York, NY.
- Karampetakis, N. (1993). Notions of Equivalence for Linear Time Invariant Multivariable Systems, Ph. D. thesis, Department of Mathematics, Aristotle University of Thessaloniki.
- Lewis, F. (1986). A survey of linear singular systems, Circuits, Systems, and Signal Processing 5(1): 3-36.
- Lewis, F., Beauchamp, G. and Syrmos, V. (1989). Some useful aspects of the infinite structure in singular systems, Proceedings of the International Symposium MTNS-89, Amsterdam, The Netherlands, pp. 263-270.
- Misra, P. and Patel, R. (1989). Computation of minimal-order realizations of generalized state-space systems, Circuits, Systems, and Signal Processing 8(1): 49-70.
- Rosenbrock, H. (1970). State Space and Multivariable Theory, Nelson, London.
- Rosenbrock, H. (1974). Structural properties of linear dynamical systems, International Journal of Control 20(2): 191-202.
- Vafiadis, D. and Karcanias, N. (1995). Generalized state-space realizations from matrix fraction descriptions, IEEE Transactions on Automatic Control 40(6): 1134-1137.
- Vardulakis, A. (1991). Linear Multivariable Control: Algebraic Analysis and Synthesis Methods, Wiley, New York, NY.
- Vardulakis, A. and Karcanias, N. (1983). Relations between strict equivalence invariants and structure at infinity of matrix pencils, IEEE Transactions on Automatic Control 28(4): 514-516.
- Vardulakis, A., Limebeer, D. and Karcanias, N. (1982). Structure and Smith-MacMillan form of a rational matrix at infinity, International Journal of Control 35(4): 701-725.
- Varga, A. (1989). Computation of irreducible generalized statespace realizations, Kybernetika 26(2): 89-106.
- Verghese, G. (1978). Infinite Frequency Behavior in Dynamical Systems, Ph. D. thesis, Department of Electrical Engineering, Stanford University.
- Verghese, G., Levy, B. and Kailath, T. (1981). A generalized state-space for singular systems, IEEE Transactions on Automatic Control 26(4): 811-831.
Language: English
Page range: 77 - 88
Published on: Apr 2, 2009
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Related subjects:
© 2009 Antonis-Ioannis Vardulakis, Nicholas Karampetakis, Efstathios Antoniou, Evangelia Tictopoulou, published by University of Zielona Góra
This work is licensed under the Creative Commons License.