Delay-dependent and delay-independent stability criteria for a delay differential system

Matsunaga, Hideaki

doi:10.1090/S0002-9939-08-09396-9

Delay-dependent and delay-independent stability criteria for a delay differential system
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by Hideaki Matsunaga

Proc. Amer. Math. Soc. 136 (2008), 4305-4312

DOI: https://doi.org/10.1090/S0002-9939-08-09396-9

Published electronically: June 30, 2008

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Abstract:

For a linear delay differential system with two coefficients and one delay, we establish some necessary and sufficient conditions on the asymptotic stability of the zero solution, which are composed of delay-dependent and delay-independent stability criteria. On the former criterion, the range of the delay is explicitly given.

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