Delay dependent stability of linear time-delay systems | Zendy

Sreten B. Stojanović | Zendy; Dragutin Lj. Debeljković | Zendy

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Delay dependent stability of linear time-delay systems

Author(s) -

Sreten B. Stojanović,

Dragutin Lj. Debeljković

Publication year - 2013

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam1302223s

Subject(s) - control theory (sociology) , stability (learning theory) , mathematics , exponential stability , computer science , linear system , mathematical analysis , nonlinear system , physics , control (management) , quantum mechanics , machine learning , artificial intelligence

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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