Lyapunov Functionals that Lead to Exponential Stability and Instability in Finite Delay Volterra Difference Equations
نویسندگان
چکیده
We use Lyapunov functionals to obtain sufficient conditions that guarantee exponential stability of the zero solution of the finite delay Volterra difference equation x(t + 1) = a(t)x(t) + t−1 ∑ s=t−r b(t, s)x(s). Also, by displaying a slightly different Lyapunov functional we obtain conditions that guarantee the instability of the zero solution. The highlight of the paper is relaxing the condition |a(t)| < 1. Moreover we provide examples in which we show that our theorems provide an improvement of some of the recent literature.
منابع مشابه
Inequalities That Lead to Exponential Stability and Instability in Delay Difference Equations
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