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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0301720-2
Keywords: Dynamical system, total stability, prolongation, asymptotic stability
Article copyright: © Copyright 1972 American Mathematical Society