Geometry of the Limit Sets of Linear Switched Systems

Details Geometry of the Limit Sets of Linear Switched Systems Geometry of the Limit Sets of Linear Switched Systems

2010-04-29

arxiv.org/abs/1004.5302v1

Mathematics

Optimization and Control

Scientific paper

The paper is concerned with asymptotic stability properties of linear switched systems. Under the hypothesis that all the subsystems share a non strict quadratic Lyapunov function, we provide a large class of switching signals for which a large class of switched systems are asymptotically stable. For this purpose we define what we call non chaotic inputs, which generalize the different notions of inputs with dwell time. Next we turn our attention to the behaviour for possibly chaotic inputs. To finish we give a sufficient condition for a system composed of a pair of Hurwitz matrices to be asymptotically stable for all inputs.

Affiliated with

Also associated with

No associations

Rating

Geometry of the Limit Sets of Linear Switched 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 Geometry of the Limit Sets of Linear Switched Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometry of the Limit Sets of Linear Switched Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285239