A delay decomposition approach to delay-dependent stability for linear systems with time-varying delays. (English) Zbl 1185.93106
Summary: This paper is concerned with delay-dependent stability for linear systems with time-varying delays. By decomposing the delay interval into multiple equidistant subintervals, on which different Lyapunov functionals are chosen, and new Lyapunov-Krasvskii functionals are then constructed. Employing these new Lyapunov-Krasvskii functionals, some new delay-dependent stability criteria are established. The numerical examples show that the obtained results are less conservative than some existing ones in the literature.
MSC:
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 34H05 | Control problems involving ordinary differential equations |
| 93C05 | Linear systems in control theory |
Keywords:
linear systems; time-delay; stability; Lyapunov-Krasovskii functional; linear matrix inequality (LMI); linear delay systemsReferences:
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