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Exponential stability of discontinuous dynamical systems determined by differential equations in Banach space

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2 Author(s)
A. N. Michel ; Dept. of Electr. Eng., Notre Dame Univ., IN, USA ; Ye Sun

We present an exponential stability result for a class of discontinuous dynamical systems (DDS) determined by differential equations in Banach space (resp., Cauchy problems on abstract spaces). We demonstrate the applicability of our result in the analysis of several important classes of DDS, including systems determined by functional differential equations and partial differential equations.

Published in:

Proceedings of the 2005, American Control Conference, 2005.

Date of Conference:

8-10 June 2005