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.