Exponential stability of non-autonomous systems with time delay on time scales

摘要

The exponential stability and uniformly exponential stability of the non-autonomous systems with time delay on time scales are studied in this paper. Using the Lyapunov-Krasovskii functional approach and the Riccati technique on time scales, a sufficient condition for the exponential stability of the considered system is derived. Further, by using the Gronwall's Inequality on time scales, a sufficient condition for the uniformly exponential stability of the considered system is also derived. Finally, several examples are given to illustrate our results.