Abstract
The L/sub 1/-performance analysis of nonlinear systems is discussed using the theory of positively invariant sets and the set-valued analysis. The main result of the paper shows that the L/sub 1/ performance cost of a nonlinear continuous-time system is upper bounded by the L/sub 1/ performance cost of its Euler approximating discrete-time system (EAS). Another result shows that the optimal L/sub 1/ performance cost of a continuous-time system can be arbitrarily closed by the L/sub 1/ performance cost of its EAS.
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.
