Abstract
ABSTRACT A sufficient condition for uniform asymptotic stability of nonlinear time-varying systems is proposed within the Narendra-Annaswamy (NA) framework. Based on homogeneity, a class of strict Lyapunov functions is established, in which time-varying terms are included. By using the new Lyapunov functions, concise criterion is provided. Unlike the classical NA approach, divergent time sequence in the criterion is not needed. The utility of our result is illustrated through the study of applications and numerical examples.
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