Global uniform symptotic attractive stability of the non-autonomous bouncing ball system

• Published in: Physica. D Vol. 241; no. 22; pp. 2029 - 2041
• Main Authors: Leine, R.I., Heimsch, T.F.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.11.2012
• Subjects: Attraction; Bouncing; Finite-time attractivity; Gravitational fields; Impact; Lyapunov functions; Mathematical analysis; Measure differential inclusions; Oscillating; Stability; Stability theory; Tables (data); Impact; Finite-time attractivity; Measure differential inclusions; Stability theory

The non-autonomous bouncing ball system consists of a point mass in a constant gravitational field, which bounces inelastically on a flat vibrating table. A sufficient condition for the global uniform attractive stability of the equilibrium of the non-autonomous bouncing ball system is proved in thi...