Fuhrmann, Paul (Ben Gurion Univ.)

Behavior Homomorphisms and Some of Their Applications

Scheduled for presentation during the Mini-Symposium "Functional and algebraic methods in behavioral systems and control theory" (WeA12), Wednesday, July 26, 2006, 10:25−11:15, Room 104b

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 26, 2024

Abstract

Behaviors are defined, in terms of the backward shift operator, as linear, shift invariant and closed in an appropriate topology subspaces of the signal space, $z^{−1}F[[z^{−1}]]^{m}$ in our case. Behaviors have a natural F[z]-module structure and it is of fundamental impor-tance to study the corresponding homomorphisms between different behaviors. The talk will present the basic results, explain their system theoretic significance and discuss some applications. First and foremost, we will show how behavior homomorphisms lead to a general theory of equivalence for linear systems. Other applications include the connections between behavior theory and geometric control, state representations for behaviors and observer theory.