Abstract
This paper considers the robust absolute stability for uncertain mixed neutral and Lur’e systems with time-varying delay and sector-bounded nonlinearity. A new double integral inequality is proposed for reducing conservatism of criteria. By constructing a suitable augmented triple-integral Lyapunov-Krasovskii functional(LKF), employing delay decomposition approach and the new double integral inequality and combining other techniques, the new delay-dependent absolute stability criterion is derived in the form of linear matrix inequalities(LMIs). Several examples show the more effectiveness and less conservatism of proposed approach than the pervious.
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