Polynomial matrix equivalences: system transformations and structural invariants
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Nicholas P. Karampetakis | E. N. Antoniou | S. Vologiannidis | Antonis I. G. Vardulakis | A. Vardulakis | E. Antoniou | N. Karampetakis | S. Vologiannidis
[1] A. Pugh,et al. Fundamental equivalence of generalized state space systems , 1986, The 23rd IEEE Conference on Decision and Control.
[2] A. Pugh,et al. A fundamental notion of equivalence for linear multivariable systems , 1994, IEEE Trans. Autom. Control..
[3] A. Vardulakis,et al. A new notion of equivalence for discrete time AR representations , 2004 .
[4] Nicholas P. Karampetakis,et al. Construction of algebraic-differential equations with given smooth and impulsive behaviour , 2015, IMA J. Math. Control. Inf..
[5] O. Bosgra,et al. Realizations in generalized state-space form for polynomial system matrices and the definitions of poles, zeros and decoupling zeros at infinity† , 1981 .
[6] D. Limebeer,et al. Structure and Smith-MacMillan form of a rational matrix at infinity , 1982 .
[7] W. Wolovich. Linear multivariable systems , 1974 .
[8] Ton Geerts. Higher-order continuous-time implicit systems: Consistency and weak consistency, impulse controllability, geometric concepts, and invertibility properties , 1996 .
[9] A. Vardulakis,et al. Fundamental equivalence of discrete-time AR representations , 2003 .
[10] B. Levy,et al. A unification of system equivalence definitions , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.
[11] T. Kailath,et al. A generalized state-space for singular systems , 1981 .
[12] Nicholas P. Karampetakis,et al. A spectral characterization of the behavior of discrete time AR-representations over a finite time interval , 1997, 1997 European Control Conference (ECC).
[13] L. Pernebo. Notes on Strict System Equivalence , 1977 .
[14] M. Hautus. The Formal Laplace Transform for Smooth Linear Systems , 1976 .
[15] F. Lewis. A survey of linear singular systems , 1986 .
[16] Henri Bourlès,et al. Poles and zeros at infinity of linear time-varying systems , 1999, IEEE Trans. Autom. Control..
[17] M. S. Boudellioua. Further Results on the Equivalence to Smith Form of Multivariate Polynomial Matrices , 2013 .
[18] A. K. Shelton,et al. On a new definition of strict system equivalence , 1978 .
[19] S. J. McInerney,et al. Zero structures of n-D systems , 2005 .
[20] D. Cobb. Controllability, observability, and duality in singular systems , 1984 .
[21] F. Lewis. Descriptor systems: Decomposition into forward and backward subsystems , 1984 .
[22] U. Oberst. Multidimensional constant linear systems , 1990, EUROCAST.
[23] H. Rosenbrock. Structural properties of linear dynamical systems , 1974 .
[24] Nicholas P. Karampetakis,et al. Generalized state-space system matrix equivalents of a Rosenbrock system matrix , 1993 .
[25] D. Luenberger. Dynamic equations in descriptor form , 1977 .
[26] Dean Johnson. Coprimeness in multidimensional system theory and symbolic computation , 1993 .
[27] M. S. Boudellioua. Strict system equivalence of 2D linear discrete state space models , 2012 .
[28] K. Weierstrass. Zur Theorie der bilinearen und quadratischen Formen , 2013 .
[29] L. Mirsky,et al. The Theory of Matrices , 1961, The Mathematical Gazette.
[30] E. Zerz. On strict system equivalence for multidimensional systems , 2000 .
[31] Jr. G. Forney,et al. Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems , 1975 .
[32] Ton Geerts. Solvability conditions, consistency, and weak consistency for linear differential-algebraic equations and time-invariant singular systems: the general case , 1993 .
[33] D. S. Johnson,et al. On conditions guaranteeing two polynomial matrices possess identical zero structures , 1992 .
[34] D. Cobb. On the solutions of linear differential equations with singular coefficients , 1982 .
[35] P. Fuhrmann. On strict system equivalence and similarity , 1977 .
[36] W. A. Coppel,et al. Strong system equivalence (II) , 1985, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.
[37] N. Karampetakis. On the solution space of discrete time AR-representations over a finite time horizon , 2004 .
[38] A. Pugh,et al. Transformations of matrix pencils and implications in linear systems theory , 1987 .
[39] Malcolm C. Smith. Matrix fractions and strict system equivalence , 1981 .
[40] L. Silverman,et al. System structure and singular control , 1983 .
[41] A. Pugh,et al. Equivalence of AR-Representations in the Light of the Impulsive-Smooth Behavior , 2007, Proceedings of the 44th IEEE Conference on Decision and Control.
[42] A. Vardulakis,et al. Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations , 1989 .
[43] D. S. Johnson,et al. A transformation for 2-D linear systems and a generalization of a theorem of Rosenbrock , 1998 .
[44] K. Galkowski. Elementary operations and equivalence of two-dimensional systems , 1996 .
[45] Dimitris Vafiadis,et al. Generalized state-space realizations from matrix fraction descriptions , 1995, IEEE Trans. Autom. Control..
[46] Henri Bourlès,et al. Linear Time-Varying Systems: Algebraic-Analytic Approach , 2011 .
[47] E. Antoniou,et al. Forward, backward, and symmetric solutions of discrete ARMA representations , 1997, 1997 European Control Conference (ECC).