HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Stability of uniformly bounded switched systems and Observability

Abstract : This paper mainly deals with switched linear systems defined by a pair of Hurwitz matrices that share a common but not strict quadratic Lyapunov function. Its aim is to give sufficient conditions for such a system to be GUAS. We show that this property of being GUAS is equivalent to the uniform observability on $[0,+\infty)$ of a bilinear system defined on a subspace whose dimension is in most cases much smaller than the dimension of the switched system. Some sufficient conditions of uniform asymptotic stability are then deduced from the equivalence theorem, and illustrated by examples. The results are partially extended to nonlinear analytic systems.
Document type :
Journal articles
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download

Contributor : Philippe Jouan Connect in order to contact the contributor
Submitted on : Saturday, September 19, 2015 - 6:01:20 PM
Last modification on : Wednesday, November 3, 2021 - 8:14:34 AM
Long-term archiving on: : Tuesday, December 29, 2015 - 8:49:16 AM


Switch&Obs LnL.pdf
Files produced by the author(s)



Moussa Balde, Philippe Jouan, Said Naciri. Stability of uniformly bounded switched systems and Observability. Acta Applicandae Mathematicae, Springer Verlag, 2016, ⟨10.1007/s10440-015-0039-9⟩. ⟨hal-00661224v2⟩



Record views


Files downloads