报告题目：On the boundedreal lemma for positive systems: A symmetric cone viewpoint

报告时间： 10月23日下午15:00

报告地点：科学会堂A710报告厅

报告摘要：Recent advanceshave shown that the L2-gain of positive systems is fully determined bythe static gain matrix, and hence the linear matrix inequality (LMI)characterizing their H-infinity performance admits a diagonal Lyapunovmatrix variable. We aim to extend this property for systems with input, stateand output defined on general cones. Although it is known that the L2-gainis no longer governed by the static gain matrix for systems defined on generalproper cones, we show that this property is still valid when the cone in thestate space is symmetric, and the cones in the input and output spaces areself-dual. Meanwhile, it is proved that the Lyapunov matrix appearing in theLMI characterization for the H-infinity performance can be constructedby the quadratic representation of the Jordan algebra associated with thesymmetric cone in the state space. Finally, the established results areillustrated via a linear system defined on second-order cones.

报告人简介：Dr. JunShen received the B.Sc. and M.Sc. degrees from Southeast University, Nanjing,China, in 2008 and 2011, respectively. He obtained the Ph.D. degree from theDepartment of Mechanical Engineering, the University of Hong Kong, Hong Kong,in 2015. After that, he joined College of Automation Engineering, NanjingUniversity of Aeronautics and Astronautics. He has published over 20 journalpapers, of which 7 are in Automatica, and 4 are in IEEE Transactions onAutomatic Control. His current research interests include positive systems,fractional order systems, and model reduction.