Strict monotonous asymptotic energetic stability. Part I: Theory

Abstract

The concept of strict monotonous asymptotic energetic stability (SMAES) of an equilibrium state of a time invariant nonlinear dynamic system is introduced by defining also energetic stability, energetic attraction and strict monotonous energetic attraction, as well as their domains, in a Lyapunov sense. The concept is important because it is the energy exchange that creates motions of systems. It is also important from the point of view of energy consumption and/or energy dissipation minimization.