Matrosov's theorem using a family of auxiliary functions: an analysis tool to aid time-varying nonlinear control design

Details Matrosov's theorem using a family of auxiliary functions: an analysis tool to aid time-varying nonlinear control design Matrosov's theorem using a family of auxiliary functions: an analysis tool to aid time-varying nonlinear control design

2003-04-18

arxiv.org/abs/math/0304255v1

Mathematics

Optimization and Control

Scientific paper

We present a new result on uniform attractivity of the origin for nonlinear time-varying systems. Our theorem generalizes Matrosov's theorem which extends, in a certain manner, Krasovskii-LaSalle invariance principle to the case of general nonlinear time-varying systems. We show the utility of our theorem by addressing a control problem of port interconnected driftless systems. The latter includes as special case, the control of chained-form nonholonomic systems which has been extensively studied in the literature.

Affiliated with

Also associated with

No associations

Rating

Matrosov's theorem using a family of auxiliary functions: an analysis tool to aid time-varying nonlinear control design 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 Matrosov's theorem using a family of auxiliary functions: an analysis tool to aid time-varying nonlinear control design, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Matrosov's theorem using a family of auxiliary functions: an analysis tool to aid time-varying nonlinear control design will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-596182