Abstract
This paper investigates robust stability, H2 performance, and H∞ performance analysis for polytopic systems, i.e. Linear Time-Invariant Parameter-Dependent (LTIPD) systems in which the parameters lie in the unit simplex. Our results are derived via multiple “slack variable” approach, which has previously been proposed for the non-negativity check of polynomial functions, using Polynomially Parameter-Dependent Lyapunov Functions (PPDLFs). Our derived conditions are only sufficient conditions for our addressed problems; however, they encompass existing methods via single slack variable approach. Numerical examples are included to demonstrate the effectiveness of our methods.
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.
