IMA Journal of Mathematical Control and Information 1996 13(2):129-130; doi:10.1093/imamci/13.2.129
© 1996 by Institute of Mathematics and its Applications
Counterexample to a recent result on the stability of nonlinear systems
P. TSIOTRAS,
M. CORLESS and
M. ROTEA
School of Aeronautics and Astronautics, Purdue University West Lafayette, IN 47907, USA
S. P. Banks & K. J. Mhana (1992) claim that a certain condition is sufficient to ensure global asymptotic stability for a broad class of nonlinear systems. We demonstrate, via a counterexample, that satisfaction of this condition does not imply global asymptotic stability.

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