17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper FrP13.5

Varga, Andras (German Aerospace Center)

Computation of L-Infinity Norm of Linear Discrete-Time Periodic Systems

Scheduled for presentation during the Regular Session "Periodic systems" (FrP13), Friday, July 28, 2006, 17:00−17:25, Room 101

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 20, 2024

Keywords Periodic systems, Discrete-time systems, H2/H-infinity, L1 control

Abstract

We propose an efficient and numerically reliable procedure for the computation of L-infinity norm of discrete-time linear periodic systems. The new procedure is general being applicable to both standard as well as descriptor periodic systems with time-varying dimensions. The convergence rate of the iterative part is quadratic. The proposed procedure is based on structure preserving numerically stable algorithms for eigenvalue and zeros computation.