Inequalities That Lead to Exponential Stability and Instability in Delay Difference Equations
نویسندگان
چکیده
We use Lyapunov functionals to obtain sufficient conditions that guarantee exponential stability of the zero solution of the delay difference equation x(t + 1) = a(t)x(t) + b(t)x(t− h). The highlight of the paper is the relaxing of the condition |a(t)| < 1. An instability criteria for the zero solution is obtained. Moreover, we will provide an example, in which we show that our theorems provide an improvement of some of the recent literature.
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