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Weak Exponential Stability for Time-Periodic Differential Inclusions via First Approximation Averaging
Authors:Ricardo Gama  Georgi Smirnov
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
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.
Keywords:
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