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 TuA06.1

Ichikawa, Akira (Kyoto Univ.)

Null Controllability with Vanishing Energy for Infinite Dimensional Periodic Systems

Scheduled for presentation during the Mini-Symposium "Distributed Parameter Systems-II: Control of Infinite-Dimensional Systems" (TuA06), Tuesday, July 25, 2006, 10:25−10:50, Room G

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 15, 2024

Keywords Control of distributed parameter systems

Abstract

Null controllability with vanishing energy (NCVE)is a property of linear systems that any state can be steered to the origin with arbitrarily small L2-norm of the control input. In this paer we consider linear periodic systems generated by evolution operators and give necessary and sufficient conditions for NCVE. We give a first conditon in terms of a homogeneous Riccati differential equation as in the time-invariant case. Using a discrete-time system obtained from the system, we then give a second condition in terms of the spectrum of the evolution operator. We also examine sufficient conditions fro exact controllability with vanishing energy.