A novel Lyapunov-like method for the non-autonomous bouncing ball system
نویسندگان
چکیده
The non-autonomous bouncing ball system consists of a point mass m in a constant gravitational field g, which bounces inelastically on a flat vibrating table. The presented Lyapunov-like method is set up for non-autonomous measure differential inclusions and constructs a decreasing step function W above the oscillating Lyapunov function V . Furthermore, it is proven that the attractivity of the equilibrium of the bouncing ball system is symptotic and a conservative estimate of the finite attraction time is given.
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