Jikuya, Ichiro (Nagoya Univ.), Hodaka, Ichijo (Nagoya Univ.)

A New Geometric Characterization of Stabilizability for Linear Periodic Continuous-Time Systems

Scheduled for presentation during the Regular Session "Periodic systems" (FrP13), Friday, July 28, 2006, 16:35−17:00, 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 24, 2024

Abstract

This paper gives a geometric viewpoint for linear periodic continuous-time systems. As in the time invariant case, stable, unstable and controllable subspaces are introduced, while they are spanned by smooth double periodic bases and are invariant with respect to the fundamental solution. Then controllable and uncontrollable subsystems are represented in the coordinate free setting. It is also shown that controllability is not affected by state feedback as in the time invariant case. Finally a new geometric characterization of stabilizability is given in the sense that a linear periodic continuous-time system is stabilizable by continuous and double periodic state feedback iff an unstable subspace is contained in a controllable subspace.