On absolute stability of nonlinear systems with small delays.
Gil, M.I., Ailon, A., Ahn, B.H. (1998)
Mathematical Problems in Engineering
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Gil, M.I., Ailon, A., Ahn, B.H. (1998)
Mathematical Problems in Engineering
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Vladimir B. Răsvan (2011)
Mathematica Bohemica
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The following time delay system is considered, where may have discontinuities, in particular at the origin. The solution is defined using the “redefined nonlinearity” concept. For such systems sliding modes are discussed and a frequency domain inequality for global asymptotic stability is given.
Gil, Michael I., Cheng, Sui Sun (1999)
Discrete Dynamics in Nature and Society
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Gil', Michael, Cheng, Sui Sun (2007)
Discrete Dynamics in Nature and Society
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Okoronkwo, Emmanuel O. (1989)
International Journal of Mathematics and Mathematical Sciences
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Moussadek Remili, Lynda Damerdji Oudjedi (2014)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this article, we shall establish sufficient conditions for the asymptotic stability and boundedness of solutions of a certain third order nonlinear non-autonomous delay differential equation, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Examples are given to illustrate our results.
Yankson, E. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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