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New delay-dependent absolute stability criteria for Lur’e systems with time-varying delay. (English) Zbl 1235.34193
Summary: The absolute stability problem is investigated for Lur’e systems with time-varying delay and sector-bounded nonlinearity. By employing the idea of delay fractioning, a new augmented Lyapunov functional is constructed first. Then, by introducing some slack matrices and by reserving the useful term when estimating the upper bound of the derivative of the Lyapunov functional, new delay-dependent absolute stability criteria are derived in terms of linear matrix inequalities. Several numerical examples are presented to show the effectiveness and the less-conservativeness of the proposed method.
MSC:
34K20Stability theory of functional-differential equations