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Conference Papers Year : 2010

A new characterisation of exponential stability

Elena Panteley
Antonio Loria

Abstract

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.
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Dates and versions

hal-00831375 , version 1 (06-06-2013)

Identifiers

  • HAL Id : hal-00831375 , version 1

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