Novel delay-dependent robust stability criteria for neutral-type timevarying uncertain Lurie nonlinear control system with mixed time delays

This study examines the problem of robust stability analysis of neutral-type time-varying uncertain Lurie nonlinear control system with mixed time delays. Firstly, by discretizing the time-delay interval into non-uniformly multiple subintervals and decomposing the corresponding integral intervals to estimate the bounds of integral terms more exactly, less conservative stability criteria are derived. Secondly, based on the above delay-partitioning method, a newly augmented Lyapunov-Krasovkii functional is constructed. Thirdly, by taking full advantage of Wirtinger’s integral inequality, which can provide tighter upper bound than Jensen’s inequality, novel delay-dependent robust stability conditions are obtained in terms of linear matrix inequalities. Finally, several numerical examples are presented to illustrate the effectiveness and advantages of the theoretical results.