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 FrP11.3

trentelman, harry l. (Univ. of Groningen), Praagman, Kees (Univ. of Groningen), Zavala Yoe, Ricardo (Univ. of Groningen)

Polynomial Embedding Algorithms for Stabilization and Pole Placement

Scheduled for presentation during the Mini-Symposium "Control, estimation, and identification in a behavioral setting" (FrP11), Friday, July 28, 2006, 16:10−16:35, Room 104a

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 19, 2024

Keywords Linear systems, Behavioral approach to systems theory

Abstract

In this short paper we will establish polynomial algorithms for computation of controllers in the behavioral approach to control, in particular for the computation of controllers that achieve pole placement and stabilization by behavioral full interconnection and partial interconnection. These synthesis problems were studied before in papers by J.C. Willems and M.N. Belur and H.L. Trentelman. In the algorithms we will apply ideas around the unimodular and stable embedding problems. The algorithms that are presented in this paper can be implemented by means of the Polynomial Toolbox of Matlab.