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Novel criteria for global asymptotic stability of nonlinear uncertainfinite-dimensional systems are presented. The results are obtained by acombination of the "discretization approach" and the ideas contained in theproof of the original Matrosov's result. The results can be used for the proofof global asymptotic stability by using continuously differentiable, positivedefinite functions which do not have a negative semi-definite derivative.Illustrating examples are provided.

Can We Prove Stability by Using a Positive Definite Function with Non Sign-Definite Derivative?