New absolute stability conditions of Lur’e systems with time-varying delay. (English) Zbl 1326.93099
Summary: This paper is focused on the absolute stability of Lur’e systems with time-varying delay. Based on the quadratic separation framework, a complete delay-decomposing Lyapunov-Krasovskii functional is constructed. By considering the relationship between the time-varying delay and its varying interval, improved delay-dependent absolute stability conditions in terms of Linear Matrix Inequalities (LMIs) are obtained. Moreover, the derived conditions are extended to systems with time-varying structured uncertainties. Finally, a numerical example is given to show the advantage over existing literature.
MSC:
| 93D09 | Robust stability |
| 93D30 | Lyapunov and storage functions |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93C05 | Linear systems in control theory |
Keywords:
absolute stability; Lur’e systems; time-varying delay; Lyapunov-Krasovskii functional; delay-dependent absolute stability conditions; linear matrix inequalities (LMIs)References:
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