Geodesic
Delay dependent stability of linear time-delay systems
Theoretical and applied mechanics, Volume 40 (2013) no. 2, p. 223

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This paper deals with the problem of delay dependent stability for both ordinary and large-scale time-delay systems. Some necessary and sufficient conditions for delay-dependent asymptotic stability of continuous and discrete linear time-delay systems are derived. These results have been extended to the large-scale time-delay systems covering the cases of two and multiple existing subsystems. The delay-dependent criteria are derived by Lyapunov's direct method and are exclusively based on the solvents of particular matrix equation and Lyapunov equation for non-delay systems. Obtained stability conditions do not possess conservatism. Numerical examples have been worked out to show the applicability of results derived.
DOI: 10.2298/TAM1302223S
Classification: 93C05 93D99
Keywords: continuous time-delay systems, discrete time-delay systems, large-scale time-delay systems, delay-dependent stability, Lyapunov stability, necessary and sufficient conditions 
Sreten B. Stojanović; Dragutin Lj. Debeljković. Delay dependent stability of linear time-delay systems. Theoretical and applied mechanics, Volume 40 (2013) no. 2, p. 223 . doi: 10.2298/TAM1302223S
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     title = {Delay dependent stability of linear time-delay systems},
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