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Kurosawa, K., Yamada, I., Yokokawa, T. and Tsujii, S. (1993) A Fast Stability Test for Multidimensional Systems. IEEE International Symposium on Circuits and Systems, Tokyo Institute of Technology, Vol. 152, 579-582.

has been cited by the following article:

• TITLE: Stability Analysis of Multi-Dimensional Linear Discrete System and Root Distribution Using Sign Criterion with Real Coefficients

  AUTHORS: Periyasamy Ramesh

  KEYWORDS: Root Distribution, Inside the Unit Circle, Outside the Unit Circle, Characteristics Polynomial, Multi-Dimensional

  JOURNAL NAME: Circuits and Systems, Vol.7 No.3, March 25, 2016

  ABSTRACT: A new idea was proposed to find out the stability and root location of multi-dimensional linear time invariant discrete system (LTIDS) for real coefficient polynomials. For determining stability the sign criterion is synthesized from the Jury’s method for stability which is derived from the characteristic polynomial coefficients of the discrete system. The number of roots lying inside or outside the unit circle and hence on the unit circle is directly determined from the proposed single modified Jury tabulation and the sign criterion. The proposed scheme is simple and the examples are given to bring out the merits of the proposed scheme which is also applicable for the singular and non-singular cases.