A nonsmooth Lyapunov function and stability for ODE’s of Caratheodory type |
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| Authors: | Marta Grzanek Anna Michalak Andrzej Rogowski |
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| Institution: | 1. University of Lodz, Faculty of Mathematics and Computer Science, Banacha 22, 90-238 ?ód?, Poland;2. University of Lodz, Tomaszów Mazowiecki Branch, Institute of Computer Studies, Konstytucji 3 Maja 65/67, 97-200 Tomaszów Mazowiecki, Poland |
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| Abstract: | The problem of Lyapunov stability for systems of ODE’s of Caratheodory type is considered. It is proved that without the necessity of calculating Dini or Clarke generalized gradients, the locally Lipschitz Lyapunov function can follow different kinds of stability. |
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| Keywords: | 34D20 93D05 93D20 93D30 |
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