Is dissipativeness ≡ dissipativeness? … When two theories met

In this paper, we construct a bridge between two apparently disjoined theories, both intending to capture the intuitive concept of dissipativeness, and which have coexisted, evolved and grown independently from each other: Passivity, from control systems theory, and point-dissipativeness, from dynamical systems theory. Recently, in [20] it was introduced a control design method for the global CLF stabilization of affine control systems with point-dissipative free dynamics, via admissible (bounded and regular) feedback controls. Therefore, due to the relationship between both theories, we show the underlying passivity-based ideas of that control design.