Weak exponential stability for time-periodic differential inclusions via first ...

• Author(s): Gama, Ricardo ; Smirnov, Georgi
• Date: 2012
• Persistent ID: http://hdl.handle.net/1822/20842
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Differential inclusions; Averaging method
• Document Type: Article
• Language: English

Description

Published online: 20 June 2012 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.