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A counter example to a recent result on the stability of non-linear systems
Journal article   Peer reviewed

A counter example to a recent result on the stability of non-linear systems

Shah Muhammad and Jacob van der Woude
IMA journal of mathematical control and information, Vol.26(3), pp.319-323
01/09/2009
DOI: https://doi.org/10.1093/imamci/dnp015

Abstract

global asymptotic stability non-linear systems state-dependent coefficient parametrization
Langson & Alleyne (2002, J Dyn. Syst. Meas. Control, 124, 452–456) proposed certain sufficient conditions that guarantee the global asymptotic stability of a class of non-linear systems. In this paper, we give a counter example to demonstrate that the conditions stated in Langson & Alleyne (2002) are not sufficient for the global asymptotic stability.

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