Spontaneously broken symmetries
H. Narnhofer, W. Thirring (1999)
Annales de l'I.H.P. Physique théorique
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H. Narnhofer, W. Thirring (1999)
Annales de l'I.H.P. Physique théorique
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Long Wang (2004)
Control and Cybernetics
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Andrzej Ehrenfeucht, Andrzej Mostowski (1956)
Fundamenta Mathematicae
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Hervé Jacquet, Stephen Rallis (1996)
Compositio Mathematica
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Nikolas P. Karampetakis, Ashley Clive Pugh, G. E. Hayton (1997)
Kybernetika
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Tadeusz Kaczorek (2009)
International Journal of Applied Mathematics and Computer Science
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It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.
Jamal Bouyaghroumni, Abdelhaq El Jai, Mostafa Rachik (2001)
International Journal of Applied Mathematics and Computer Science
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We consider a discrete disturbed system given by the difference bilinear equation where are disturbances which excite the system in a linear and a bilinear form. We assume that the system is augmented with the output function. Let be a tolerance index on the output. The disturbance is said to be -admissible if, where is the output signal associated with the case of an uninfected system. The set of all -admissible disturbances is the admissible set. The characterization of is investigated...