Cart (Loading....) | Create Account
Close category search window
 

Positively invariant sets for constrained continuous-time systems with cone properties

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Tarbouriech, S. ; Lab. d''Autom. et d''Anal. des Syst., CNRS, Toulouse, France ; Burgat, C.

This note deals with some properties of particular bounded sets w.r.t. linear continuous-time systems described by x˙(t)=A(0)x(t)+c(t), where c(t)∈Ω⊂Rn, Ω a compact set, and matrix etA(0) has the property of leaving a proper cone K positively invariant, that is etA(0)K⊂K. The considered bounded sets 𝒟(K; a, b) are described as the intersection of shifted cones. Necessary and sufficient conditions are given. They guarantee that such sets are positively invariant w.r.t. the considered system. The trajectories starting from x 0∈Rn/𝒟(K; a, b) (respectively to x0 ∈Rn) are studied in terms of attractivity and contractivity of the set 𝒟(K; a, b). The results are applied to the study of the constrained state feedback regulator problem

Published in:

Automatic Control, IEEE Transactions on  (Volume:39 ,  Issue: 2 )

Date of Publication:

Feb 1994

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.