Weak Exponential Stability for Time-Periodic Differential Inclusions via First Approximation Averaging |
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Authors: | Ricardo Gama Georgi Smirnov |
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Affiliation: | 1. School of Technology and Management of Lamego, Av. Visconde Guedes Teixeira, 5100-074, Lamego, Portugal 2. Centre of Physics, Department of Mathematics and Applications, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal
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Abstract: | In this work we propose a method to study a weak exponential stability for time-varying differential inclusions applying an averaging procedure to a first approximation. Namely, we show that a weak exponential stability of the averaged first approximation to the differential inclusion implies the weak exponential stability of the original time-varying inclusion. The result is illustrated by an example. |
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