| Summary: | 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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