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Browsing by Subject "instability"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Exponential stability results for variable delay difference equations
    (Wydawnictwa AGH, 2021) Yankson, Ernest
    Sufficient conditions that guarantee exponential decay to zero of the variable delay difference equation $x(n+1)=a(n)x(n)+b(n)x(n-g(n))$ are obtained. These sufficient conditions are deduced via inequalities by employing Lyapunov functionals. In addition, a criterion for the instability of the zero solution is established. The results in the paper generalizes some results in the literature.