Sensitivity of Schur stability of systems of linear difference equations with periodic coefficients

Year 2016, Volume: 4 Issue: 2, 159 - 173, 01.03.2016

Ahmet Duman Gulnur Celik Kızılkan Kemal Aydın

Abstract

In
this study, the sensitivity of Schur stability of systems of linear difference
equations with periodic coefficients has been examined.
The modified continuity theorems based on the parameters w₁ and w₂ have been given for Schur stability of
linear difference equations with periodic coefficients. Also, new results have
been obtained for sensitivity ofw w*Schur stability based on the parameters  w₁ and w₂. All the results have been applied to linear difference
equations with periodic coefficients with order k. kD*ball regions of Schur
stability and w*Schur
stability have been determined. In addition, the results related to kD*ball regions have
been given.

Keywords

difference equation systems, monodromy matrix, periodic coefficients, Schur stability parameters, practical Schur stability

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