Stabilization of discrete 2D behaviors by regular partial interconnection

• Type: Article in International Scientific Journal
• Date: 2011

Authors

Diego Napp (Author) Other; Paula Rocha (Author) FEUP

Journal

Title: Mathematics of Control, Signals, and Systems

Vol. 22

Pages: 295-316

ISSN: 0932-4194

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 2 Citations

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: P-002-NWM

DOI: 10.1007/s00498-011-0060-0

Abstract (EN): In this work, we consider linear, shift-invariant and complete two-dimensional (2D) discrete systems from a behavioral point of view. In particular, we examine behaviors with two types of variables: the variables that we are interested to control (the to-be-controlled variables) and the variables on which we are allowed to enforce restrictions (the control variables). The main purpose of this contribution is to derive necessary and sufficient conditions for the stabilization of the to-be-controlled variables by 'attaching' a controller to the control variables. This problem turns out to be related to the decomposition of a given behavior into the sum of two sub-behaviors. Moreover, we show that under certain conditions, it is possible to obtain a constructive solution and characterize the structure of the to-be-controlled behavior.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22