Improved delay-dependent stability criteria for systems with nonlinear perturbations. (English) Zbl 1293.93586
Summary: This paper studies the delay-dependent robust stability for time-delay systems with nonlinear perturbations. A new method is proposed to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms. Improved delay-dependent stability criteria are established by taking into account the range for the time-delay. In addition, augmented Lyapunov functionals are introduced to derive less conservative delay-dependent stability conditions. Finally, numerical examples are given to demonstrate the effectiveness and the merits of the proposed method.
MSC:
| 93D09 | Robust stability |
| 93C73 | Perturbations in control/observation systems |
| 93C10 | Nonlinear systems in control theory |
Keywords:
delay-dependent stability; time-varying interval delay; linear matrix inequality (LMI); nonlinear perturbationsReferences:
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