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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
Uncontrolled Keywords:2D systems, quadratic difference forms, LMI, stability
Divisions:Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID:272249
Deposited On:04 May 2011 13:08
Last Modified:02 Mar 2012 14:05
Further Information:Google Scholar

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