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Digital Library

of the European Council for Modelling and Simulation

 

Title:

New Stability Tests Of Positive 1D And 2D Linear Systems

Authors:

Tadeusz Kaczorek

Published in:

 

(2011).ECMS 2011 Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho. European Council for Modeling and Simulation. doi:10.7148/2011 

 

ISBN: 978-0-9564944-2-9

 

25th European Conference on Modelling and Simulation,

Jubilee Conference

Krakow, June 7-10, 2011

 

Citation format:

Kaczorek, T. (2011). New Stability Tests Of Positive 1D And 2D Linear Systems. ECMS 2011 Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho (pp. 237-243). European Council for Modeling and Simulation. doi:10.7148/2011-0237-0243

DOI:

http://dx.doi.org/10.7148/2011-0237-0243

Abstract:

New tests for checking asymptotic stability of positive 1D continuous-time and discrete-time linear systems without and with delays and of positive 2D linear systems described by the general and the Roesser models are proposed. Checking of the asymptotic stability of positive 2D linear systems is reduced to checking of suitable corresponding 1D positive linear systems. Effectiveness of the tests is shown on numerical examples.

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