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 ω 1 and ω 2 have been given for Schur stability of linear difference equations with periodic coefficients. Also, new results have been obtained for sensitivity of ω * −Schur stability based on the parameters ω 1 and ω 2 . All the results have been applied to linear difference equations with periodic coefficients with order k. kD−ball regions of Schur stability and ω * −Schur stability have been determined. In addition, the results related to kD−ball regions have been given.
Bu çalışmada, Schur kararlı k. mertebeden ( ) ( ) ( ) periyodik katsayılı fark denklem sisteminin hangi bozunumlar altında Schur kararlı kaldığını belirleyen süreklilik teoremleri ve sistemin Schur kararlılığı üzerine yeni sonuçlar verildi. Elde edilen sonuçlar nümerik örnekler ile desteklendi ve literatürdeki sonuçlar ile karşılaştırıldı.
Araştırma Makalesi / Research Article
k. mertebeden periyodik katsayılı x(n+k)=A(n)x(n) sistemi için yeni Schur kararlılık parametresi ve Schur kararlılık parametreleri arasındaki ilişkilerNew Schur stability parameter for k-th order system with periodic coefficients x(n+k)=A(n)x(n) and relations between Schur stability parameters
Hata analizini dikkate alan değişken adım genişliği kullanarak lineer Lorenz Sistemi ve difüzyonsuz Lorenz sistemlerinin nümerik çözümleri amaçlanmıştır. Bu tuhaf çekicilerin faz portreleri elde edilmiştir.
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