| Zeit: | 5. September 2019, 14:00 Uhr |
|---|---|
| Veranstaltungsort: | Room 2.255 · Pfaffenwaldring 9 · University of Stuttgart · Campus Vaihingen |
| Download als iCal: |
|
Abstract
In this talk we start from the basics about linear copositive Lyapunov functions for positive systems, followed by the characterization of the L1-induced norm of positive systems by means of linear inequalities (linear programming problems).We show that, a slightly generalized version, weighted L1-induced norm, is useful for the stability analysis of interconnected systems constructed from positive subsystems.More precisely, we show that the interconnected system is stable if and only if there exists a set of weighting vectors that renders the weighted L1-induced norm of each positive subsystem smaller than one.We show that this result can be applied to the stability margin analysis problem of the Foschini-Miljanic algorithm for power control in wireless networks.