Mathematics – Optimization and Control
Scientific paper
2012-01-19
Mathematics
Optimization and Control
Scientific paper
The aim of this paper is to give sufficient conditions for a switched linear system defined by a pair of Hurwitz matrices that share a common but not strict quadratic Lyapunov function to be GUAS. We show that this property is equivalent to the uniform observability 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.
Balde Moussa
Jouan Philippe
No associations
LandOfFree
Stability of linear switched systems with quadratic bounds and Observability of bilinear systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stability of linear switched systems with quadratic bounds and Observability of bilinear systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of linear switched systems with quadratic bounds and Observability of bilinear systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-254384