A new characterisation of exponential stability

Elena Panteley (1) , Antonio Loria (1)

1 L2S - Laboratoire des signaux et systèmes

We present a new characterization of exponential stability for nonlinear systems in the form of Lyapunov functions which may be upper and lower bounded by monotonic functions satisfying a growth order relationship rather than being polynomials of the state's norm. In particular, one may allow for Lyapunov functions with arbitrary weakly homogeneous bounds.

Domaines: Automatique / Robotique; Systèmes dynamiques [math.DS]

Elena Panteley, Antonio Loria. A new characterisation of exponential stability. MTNS 2010, Jul 2010, Budapest, Hungary. pp.1487-1489. ⟨hal-00831375⟩