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Journal Articles IEEE Transactions on Automatic Control Year : 2009

A simplified design for strict Lyapunov functions under Matrosov conditions

Abstract

We construct strict Lyapunov functions for broad classes of nonlinear systems satisfying Matrosov type conditions. Our new constructions are simpler than the designs available in the literature. We illustrate the practical interest of our designs using a globally asymptotically stable biological model.
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Dates and versions

hal-00858530 , version 1 (05-09-2013)

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Frédéric Mazenc, Michael Malisoff, Olivier Bernard. A simplified design for strict Lyapunov functions under Matrosov conditions. IEEE Transactions on Automatic Control, 2009, 54 (1), pp.177-183. ⟨10.1109/TAC.2008.2008353⟩. ⟨hal-00858530⟩
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