Asymptotic stability for \(2 \times 2\) fractional nabla difference systems

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Abstract

In this article explicit criteria for asymptotic stability of linear two-dimensional fractional nabla difference systems with constant co-efficients, are presented. The main result gives a necessary and sufficient condition for asymptotic stability of the considered system in terms of trace and determinant of the matrix associated with the system. An example is provided to illustrate the applicability of established results.

Keywords

Fractional order Backward (nabla) difference Trace Determinant Eigenvalue Asymptotic stability 

Mathematics Subject Classification

34A08 39A06 39A30 

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsBirla Institute of Technology and Science PilaniHyderabadIndia

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