Autonomous dissipative semidynamical systems with impulses

Everaldo Mello Bonotto, Daniela P. Demuner

Abstract


In the present paper, we study the theory of dissipative impulsive semidynamical systems.
We define different types of dissipativity as point, compact, local and bounded.
The center of Levinson
is defined for compact dissipative impulsive semidynamical systems
and its topological properties are investigated. Also, we present results giving necessary and sufficient conditions to obtain dissipativity, and
we include some examples to point out that the concepts of the different kinds of dissipativity are not equivalent in general.

Keywords


Impulsive systems; dissipative systems; center of Levinson

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