Abstract

This paper is concerned with positively-invariant convex polyhedral uniform ultimate boundedness sets for open-loop unstable systems. The objective is the delimitation and region-of-attraction estimation of a possible limit cycle encircling the origin. The delimitation of the limit cycle is performed by constructing a positively-invariant convex compact polyhedral estimate of the minimal positively-invariant set containing an arbitrarily small neighborhood around the origin. Region-of-attraction estimation is performed by constructing a piecewise-affine Lyapunov function assuring uniform ultimate boundedness in the above-mentioned convex positively-invariant polyhedral set.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.