LMI conditions for robust stability of 2D linear discrete-time systems.
Hmamed, A., Alfidi, M., Benzaouia, A., Tadeo, F. (2008)
Mathematical Problems in Engineering
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Hmamed, A., Alfidi, M., Benzaouia, A., Tadeo, F. (2008)
Mathematical Problems in Engineering
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Bradul, Nataliya, Shaikhet, Leonid (2007)
Discrete Dynamics in Nature and Society
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Zhu, Wei (2008)
Discrete Dynamics in Nature and Society
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Mikołaj Busłowicz (2010)
Control and Cybernetics
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Benjelloun, K., Boukas, E.K. (1997)
Mathematical Problems in Engineering
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Shaikhet, Leonid E., Roberts, Jason A. (2006)
Advances in Difference Equations [electronic only]
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De La Sen, M., Ibeas, A. (2008)
Discrete Dynamics in Nature and Society
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Olga Y. Kushel (2016)
Special Matrices
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In this paper, we study positive stability and D-stability of P-matrices.We introduce the property of Dθ-stability, i.e., the stability with respect to a given order θ. For an n × n P-matrix A, we prove a new criterion of D-stability and Dθ-stability, based on the properties of matrix scalings.
Al-Ola, Omar M.Abou, Fujimoto, Ken'ichi, Yoshinaga, Tetsuya (2011)
Mathematical Problems in Engineering
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Martynyuk, Anatoly A. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Kipnis, M.M., Malygina, V.V. (2011)
International Journal of Mathematics and Mathematical Sciences
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Mikołaj Busłowicz, Andrzej Ruszewski (2012)
International Journal of Applied Mathematics and Computer Science
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Asymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of the asymptotic stability of the Roesser type model are given. The methods require computation of eigenvalue-loci of complex matrices or evaluation of complex functions. The effectiveness of the stability tests is demonstrated on numerical examples.