In this paper, the problem of feedback control implementation for non-linear systems is considered. Some conditions for holding the same control input until an event occurs are derived. With respect to classical approaches, where feedback laws are implemented in a periodical fashion, it is suggested new algorithms to use the same control input. By means of these algorithms, some jumps of the control inputs occur and the non-linear system becomes hybrid, since it has a mixed discrete and continuous dynamics. Under some assumptions, written in terms of Lyapunov functions, two event-based algorithms are suggested for non-linear systems. The first algorithm is directly based on the variation of the Lyapunov functions. The last event-based algorithm is based on a selection of the input variables to be updated. The results are particularized to linear control systems and illustrated by numerical simulations of linear and non-linear control systems.

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