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Title: A geometric approach for testing regularity of multi-dimensional polynomial matrices and a pencil of $n$-matrices (English)
Author: Savaci, F. Acar
Author: Göknar, I. Cem
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 27
Issue: 3
Year: 1991
Pages: 271-279
Category: math
MSC: 15A22
MSC: 93B27
MSC: 93B40
MSC: 93C35
idZBL: Zbl 0746.93022
idMR: MR1116841
Date available: 2009-09-24T18:25:47Z
Last updated: 2012-06-05
Stable URL:
Reference: [1] F. A. Savaci, I. C Göknar: Fault analysis and parameter identification in linear circuits in terms of topological matrices.Proc. IEEE Internat. Symp. on Circuits and Systems 1988, 937-941.
Reference: [2] F. A. Savaci: Fault Diagnosis in Linear Circuits; A Parameter Identification Approach.Ph. D. Dissertation, Faculty of Electrical-Electronics Engineering, Technical University of Istanbul 1988.
Reference: [3] Ö. Hüseyin, B. Özgüler: Inversion of multidimensional polyncmial matrices.AEU (1979), Band 33, 457-462.
Reference: [4] P. Bernhard: On singular implicit linear dynamical systems.SIAM J. Ccntrol Optim. 20 (1982), 612-633. Zbl 0491.93004, MR 0667644
Reference: [5] D. G. Luenberger: Time-invariant description systems.Autcmatica 14 (1978), 473 - 470.
Reference: [6] E. L. Yip, R. Sinovec: Solvability, controllability and observability of continuous descriptor system.IEEE Trans. Automat. Control AC-26 (1981), 139-147. MR 0609255
Reference: [7] P. S. Reddy D. R. Rami Reddy, M. N. S. Swamy: Proof of a modified form of Shanks' conjecture on the stability of 2-D planar least square inverse polynomials and its implications.IEEE Trans. Circuits and Systems CAS-31 (1984), 1009-1014. MR 0764271
Reference: [8] F. A. Savaci, I. C Göknar: Multivariable polynomial interpolation method for testing column regularity of $n$-pencil.To be summitted for publication.


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