Delay-range-dependent stability criteria for delayed discrete-time Lur’e system with sector-bounded nonlinearities. (English) Zbl 1314.93048
Summary: This paper is devoted to the absolute and robust stability for uncertain discrete-time Lur’e systems with interval time-varying delays and sector-bounded nonlinearities. Both, the cases with time-invariant and time-varying nonlinearities, are considered. By dividing the variation interval of the time delays into some subintervals, some new delay-range-dependent robust stability criteria are derived in the form of Linear Matrix Inequalities (LMIs) via a modified Lyapunov-Krasovskii Functional (LKF) approach. The criteria are less conservative than some existing results. Finally, some numerical examples are presented to show the effectiveness of the proposed approach.
MSC:
| 93D09 | Robust stability |
| 90C25 | Convex programming |
| 93C10 | Nonlinear systems in control theory |
| 93B52 | Feedback control |
Keywords:
discrete-time system; interval time delay; linear matrix inequality; Lur’e system; robust stability; sector-bounded nonlinearityReferences:
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