Electronic Journal of Differential Equations, Vol. 2005(2005), No. 128, pp. 1-7. Title: On the $\phi_0$-stability of impulsive dynamic system on time scales Authors: Peiguang Wang (Hebei Univ., Baoding, China) Meng Wu (Hebei Univ., Baoding, China) Abstract: This paper concerns impulsive dynamic system on time scales. We obtain sufficient conditions of the $\phi_0$-stability for such systems by employing cone-valued Lyapunov functions. Submitted June 20, 2005. Published November 23, 2005. Math Subject Classifications: 34D20, 34A37. Key Words: Time scales; Impulsive dynamic system; $\phi_0$-stability; cone-valued Lyapunov functions.