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 FrP11.5

trentelman, harry l. (Univ. of Groningen), Napp Avelli, Diego (Univ. of Groningen), Pillai, Harish (Indian Inst. of Tech. Bombay)

A Complement on the Regular Implementability of Nd Systems

Scheduled for presentation during the Mini-Symposium "Control, estimation, and identification in a behavioral setting" (FrP11), Friday, July 28, 2006, 17:00−17:25, 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 March 29, 2024

Keywords Behavioral approach to systems theory, Multidimensional systems

Abstract

In this short paper we study the problem of finding necessary and sufficient conditions for regular implementability by partial interconnection for nD system behaviors. In a recent paper by M.N. Belur and H.L. Trentelman such conditions were obtained in the context if 1D systems. In the present paper we show that the conditions obtained in the paper mentioned are no longer valid in general in the nD context. We also show, however, that under additional assumptions, the conditions still remain relevant.