Stability and minimal decay rate of systems of ODE

Abstract

In this paper, we provide new stability conditions for second-order dynamical systems. We study the stability conditions for a parameter-dependent second order model and the minimal decay rate for some variations of positive parameters. A certain way of gyroscopic stabilization of an unstable parameter-dependent system is also considered. Mathematics Subject Classification (2010) 15A18 · 15A12 · 34D10