论文信息 - Zero structures of n-D systems

Zero structures of n-D systems

A detailed definition of the zero structure of an n-D polynomial matrix is given. The nature of the invariance of this zero structure is determined in both the polynomial matrix and polynomial system matrix contexts. Some connections with previous work are made.

S. J. McInerney | A. C. Pugh * | E. El-Nabrawy

[1] H. Rosenbrock,et al. State-space and multivariable theory, , 1970 .

[2] E. Jury. Stability of multidimensional scalar and matrix polynomials , 1978, Proceedings of the IEEE.

[3] Dante C. Youla,et al. Notes on n-Dimensional System Theory , 1979 .

[4] Zhiping Lin. On matrix fraction descriptions of multivariable linear n-D systems , 1988 .

[5] A. Pugh,et al. Matrix pencil equivalents of a general 2-D polynomial matrix , 1989 .

[6] J. Willems. Paradigms and puzzles in the theory of dynamical systems , 1991 .

[7] Dean Johnson. Coprimeness in multidimensional system theory and symbolic computation , 1993 .

[8] E. Zerz. Primeness of multivariate polynomial matrices , 1996 .

[9] D. S. Johnson,et al. A transformation for 2-D linear systems and a generalization of a theorem of Rosenbrock , 1998 .

[10] S. J. McInerney. Representations and transformations for multi-dimensional systems , 1999 .

[11] J. WOOD,et al. A Behavioral Approach to the Pole Structure of One-Dimensional and Multidimensional Linear Systems , 2000, SIAM J. Control. Optim..

[12] Jeffrey Wood,et al. Controllable and Uncontrollable Poles and Zeros of nD Systems , 2001, Math. Control. Signals Syst..

[13] A. Clive Pugh,et al. Equivalence and reduction of 2-D systems , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.