  Pointwise minimum norm control laws for hybrid dynamical systems are
proposed. Hybrid systems are given by differential equations capturing the
continuous dynamics or flows, and by difference equations capturing the
discrete dynamics or jumps. The proposed control laws are defined as the
pointwise minimum norm selection from the set of inputs guaranteeing a decrease
of a control Lyapunov function. The cases of individual and common inputs
during flows and jumps, as well as when inputs enter through one of the system
dynamics, are considered. Examples illustrate the results.
