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Total stability in nondifferentiable systems

Author: Roger C. McCann
Journal: Proc. Amer. Math. Soc. 35 (1972), 112-116
MSC: Primary 54H20
MathSciNet review: 0301720
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Abstract: A definition of total stability in nondifferentiable dynamical systems is given. A prolongation is defined which characterizes the total stability of compact sets. A compact set which is the intersection of compact asymptotically stable sets is shown to be totally stable.

References [Enhancements On Off] (What's this?)

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Keywords: Dynamical system, total stability, prolongation, asymptotic stability
Article copyright: © Copyright 1972 American Mathematical Society

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