Sensitivity of Schur Stability of the $k-th$ Order Difference Equation System $y(n+k)=Cy(n)$

Abstract

In this study, it is investigated that the Schur stable difference equation systems $y(n+k)=Cy(n)$ under which perturbations remains Schur stable. Some continuity theorems of the first order systems in the literature are re-expressed for the $k-th$ order system $y(n+k)=Cy(n)$. All the results obtained are also supplemented by numerical examples.

Keywords

• Schur stability,difference equations,sensitivity,perturbation systems,condition number

References

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