Time-relevant stability of 2D systems


Rapisarda, Paolo, Napp-Avelli, Diego and Rocha, Paula (2011) Time-relevant stability of 2D systems. Automatica

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Description/Abstract

For many 2D systems, one of the independent variables plays a distinct role in the evolution of the trajectories; since often this special independent variable is time, we call such systems `time-relevant'. In this paper, we introduce a stability notion for time-relevant systems described by higher-order difference equations. We give algebraic tests in terms of the location of the zeros of the determinant of a polynomial matrix describing the system. We also give an LMI characterization of time-relevant stability involving only constant matrices.

Item Type: Article
Keywords: 2D systems, quadratic difference forms, LMI, stability
Divisions: Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control
Item ID: 272249
Date Deposited: 04 May 2011 12:08
Last Modified: 25 Aug 2012 02:33
Contributors: Rapisarda, Paolo (Author)
Napp-Avelli, Diego (Author)
Rocha, Paula (Author)
Date: 2011
Status: Unpublished
Further Information:Google Scholar
ISI Citation Count:4
URI: http://eprints.soton.ac.uk/id/eprint/272249

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