Delay dependent stability of linear time-delay systems

Autor: Stojanović Sreten B., Debeljković Dragutin Lj.
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Theoretical and Applied Mechanics, Vol 40, Iss 2, Pp 223-245 (2013)
Druh dokumentu: article
ISSN: 1450-5584
DOI: 10.2298/TAM1302223S
Popis: 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. [Projekat Ministarstva nauke Republike Srbije, br. ON174001: Dynamics of hybrid systems with complex structures]
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