Descrição de sistemas impulsivos e um estudo de propriedades recursivas

Abstract

The theory of impulsive semidynamic systems is an important tool to describe the evolution of systems in which the continuous development of a process is interrupted abruptly by a change of state. Such systems are a natural generalization of the classical theory of continuous dynamical systems. The objective of this work is to present a text that understands the fundamental theory of impulsive semidynamic systems and some of their topological properties. In addition, we will also show conditions for building impulsive sets in R n that satisfy the strong tube condition. To conclude the present work, we will discuss results on minimal sets, recurrent motions, quasi-periodic motions, weakly quasi-periodic motions, Lyapunov stability and Zhukovskij quasi-stability.