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

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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