Systems with Fractional Variable-Order Difference Operator of Convolution Type and Its Stability

  • Dorota Mozyrska
  • Malgorzata Wyrwas
Keywords: Asymptotic stability, Fractional calculus, Stability analysis, System analysis and design.

Abstract

In the paper the Grünwald–Letnikov-type linear fractional variable order discrete-time systems are studied. The conditions for stability and instability are formulated. The regions of the systems stability are determined accordingly to locus of eigenvalues of a matrix associated to the considered system.

DOI: http://dx.doi.org/10.5755/j01.eie.24.5.21846

Published
2018-10-16
Section
SYSTEM ENGINEERING, COMPUTER TECHNOLOGY