Abstract
We show that given any family of asymptotically stabilizable LTI systems depending continuously on a parameter that lies in some subset [ a 1, b 1]×⋯×[ a p , b p ] of R p , there exists a C 0 time-varying state feedback law v( t, x) (resp. a C 0 time-invariant feedback law v( x)) which robustly globally exponentially stabilizes (resp. which robustly stabilizes, not asymptotically) the family. Further, if these systems are obtained by linearizing some nonlinear systems, then v( t, x) locally exponentially stabilizes these nonlinear systems. Finally, v( t, x) globally exponentially stabilizes any time-varying system which switches “slowly enough” between the given LTI systems.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
