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T. Kaczorek, “New Stability Tests of Positive 1D and 2D Linear Systems,” Proceeding of 25th European Conference Modelling and Simulation, Krakow, 7-10 June 2011.

has been cited by the following article:

• TITLE: New Stability Tests of Positive Standard and Fractional Linear Systems

  AUTHORS: Tadeusz Kaczorek

  KEYWORDS: Fractional, Positive, Linear, System, Asymptotic Stability, Test

  JOURNAL NAME: Circuits and Systems, Vol.2 No.4, October 24, 2011

  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. It is shown that the stability tests can be also applied to checking the asymptotic stability of fractional discrete-time linear systems with delays. Effectiveness of the tests is shown on numerical examples.