A Class Of Nonlinear Neutral Lur 'delay-dependent Robust Stability Analysis Of E System

The neutral time-delay systems contain not only information of the currentstate, but also the information of the past states and their derivatives of the pasttime. Therefore, the study of neutral time-delay systems becomes one of hot spotsin recent decades in the control area, and has attracted more and more attentionsof researchers.Lur’e control system is a typical class of uncertain nonlinear systems, whosenonlinear part is regarded as a feedback control in isolation, and also a form ofclosed-loop control systems. It is widely applied in engineering fields.Firstly, this paper deals with the absolute stability problem for mixed neutraland Lur’e control systems with interval time-delay. Based on Lyapunov method,several new less conservative delay-dependent stability criteria are presented by con-structing suitable Lyapunov functional and using inequality technique.Secondly, by constructing a suitable augmented Lyapunov functional and usingintegral inequality and free-weighting matrix techniques, we derived absolute robuststability criteria for uncertain neutral systems with interval time-varying delays andsector-bounded nonlinearity.Finally, the efectiveness of these methods proposed in this thesis are demon-strated by numerical examples comparing of the results obtained in this paper andones in literatures are gievn.