Exponential Stability With Decay Rate Estimation for Linear Difference Equations

This technical note addresses the stability analysis of linear systems governed by continuous-time difference equations with multiple delays. We propose new sufficient conditions for L
₂
-exponential stability and exponential stability within the Lyapunov-Krasovskii framework. These conditions are delayindependent, and provide constructive exponential decay rate estimates of the system response. It is also shown that these conditions are less conservative than previous results in the literature.