A transformation for 2-D linear systems and a generalization of a theorem of Rosenbrock

International Journal of Control

Volumn 71, Issue 3, 1998, Pages 491-503

  Pugh, A C ^a   Mc inerney, S J ^a   Boudellioua, M S ^a   Johnson, D S ^a   Hayton, G E ^b  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^b LEEDS METROPOLITAN UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; MATRIX ALGEBRA; POLYNOMIALS; TRANSFER FUNCTIONS;

ROSENBROCK THEOREM; ZERO COPRIME SYSTEM EQUIVALENCE;

LINEAR CONTROL SYSTEMS;

EID: 0032183706     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071798221795     Document Type: Article

References (7)

1. Fuhrmann, P. A., 1977, On strict system equivalence and similarity. International Journal of Control, 25, 5-10.
2. Johnson, D. S., 1993, Coprimeness in multidimensional system theory and symbolic computation. PhD thesis, Loughborough University of Technology, UK.
3. Levy, B. C., 1981, 2-D polynomial and rational matrices and their applications for the modelling of 2-D dynamical systems. PhD thesis, Stanford University, USA.
4. Morf, M., Levy, B. C., and Kung, S. Y., 1977, New results in 2-D systems theory: Part I. Proceedings of the IEEE, 65, 861-872.
5. Rocha, P., and Willems, J. C., 1991, Controllability of 2-D systems. IEEE Transactions on Automatic Control, 36, 413-423.
6. Rosenbrock, H. H., 1970, State Space and Multivariable Theory (London, New York: Nelson-Wiley).
7. Youla, D. C., and Gnavi, G., 1979, Notes on n-dimensional systems. IEEE Transactions on Circuits and Systems, 26, 105-111.