Prof. Yoshio Ebihara: L1-induced norm analysis of positive systems and its application

September 5, 2019, 2:00 p.m. (CEST)

KTK - Kolloquium Talk
Cooperation IST - MST

Time: September 5, 2019, 2:00 p.m. (CEST)
Venue: Room 2.255 · Pfaffenwaldring 9 · University of Stuttgart · Campus Vaihingen
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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. 

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