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Stability Conditions for Linear Constant Coefficient Difference Equations in Generalized Differenced Form
Roger Nils Folsom
Dan C. Boger
Harry C. Mullikin
Abstract
This paper presents conditions on the coefficients of Nth order linear constant coefficient functional equations in generalized differences, necessary and sufficient for asymptotic stability. These conditions are analogous to the Schur-Cohn conditions for difference equations in dated form, and to the Routh-Hurwitz conditions for differential equations.
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