Robust stability and stabilization of a class of uncertain nonlinear systems with delays.
Mahmoud, Magdi S. (1998)
Mathematical Problems in Engineering
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Mahmoud, Magdi S. (1998)
Mathematical Problems in Engineering
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Mahmoud, Magdi S., Xie, Lihua (2001)
Mathematical Problems in Engineering
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Jean-Michel Dion, Luc Dugard, Silviu-Iulian Niculescu (2001)
Kybernetika
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Zong, Guangdeng, Hou, Linlin, Yang, Hongyong (2009)
Mathematical Problems in Engineering
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de la Sen, M. (2006)
Discrete Dynamics in Nature and Society
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James Louisell (2001)
Kybernetika
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In this paper we give an example of Markus–Yamabe instability in a constant coefficient delay differential equation with time-varying delay. For all values of the range of the delay function, the characteristic function of the associated autonomous delay equation is exponentially stable. Still, the fundamental solution of the time-varying system is unbounded. We also present a modified example having absolutely continuous delay function, easily calculating the average variation of the...
Qing-Long Han (2001)
International Journal of Applied Mathematics and Computer Science
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This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.