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Equivalence of energy methods in stability theory

Research paper by Petre Birtea, Mircea Puta

Indexed on: 16 May '06Published on: 16 May '06Published in: Mathematics - Dynamical Systems



Abstract

We will prove the equivalence of three methods, the so called energy methods, for establishing the stability of an equilibrium point for a dynamical system. We will illustrate by examples that this result simplifies enormously the amount of computations especially when the stability can not be decided with one of the three methods.