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A new characterisation of exponential stability

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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Submitted on : Thursday, June 6, 2013 - 7:14:23 PM
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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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