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Ooba, T. and Funahashi, Y. (2004) Stability Analysis of two-Dimensional Systems by Means of Finitely Constructed Bilateral Quadratic Forms. IEEE Transactions on Automatic Control, 49, 2068-2073.

has been cited by the following article:

• TITLE: A Modified Stability Analysis of Two-Dimensional Linear Time Invariant Discrete Systems within the Unity-Shifted Unit Circle

  AUTHORS: Periyasamy Ramesh

  KEYWORDS: Two-Dimensional, Characteristics Equation, Unity Shifting, Inner Determinant, Linear Time Invariant Discrete Systems, Stability

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

  ABSTRACT: This paper proposes a method to ascertain the stability of two dimensional linear time invariant discrete system within the shifted unit circle which is represented by the form of characteristic equation. Further an equivalent single dimensional characteristic equation is formed from the two dimensional characteristic equation then the stability formulation in the left half of Z-plane, where the roots of characteristic equation f(Z) = 0 should lie within the shifted unit circle. The coefficient of the unit shifted characteristic equation is suitably arranged in the form of matrix and the inner determinants are evaluated using proposed Jury’s concept. The proposed stability technique is simple and direct. It reduces the computational cost. An illustrative example shows the applicability of the proposed scheme.