%0 Journal Article
%T Stability of nonlinear time
%A Mohammad Ataei
%A Mohsen Ekramian
%A Soroush Talebi
%J Transactions of the Institute of Measurement and Control
%@ 1477-0369
%D 2018
%R 10.1177/0142331216668003
%X The stability problem of nonlinear time-delay systems is addressed. A quadratic constraint is employed to exploit the structure of nonlinearity in dynamical systems via a set of multiplier matrices. This yields less conservative results concerning stability analysis. By employing a Wirtinger-based inequality, a delay-dependent stability criterion is derived in terms of linear matrix inequalities for the nominal and uncertain systems. A numerical example is used to demonstrate the effectiveness of the proposed stability conditions in dealing with some larger class of nonlinearities
%K Time-delay systems
%K quadratic constraint
%K Lyapunov¨CKrasovskii functional
%K linear matrix inequalities
%K Wirtinger-based inequality
%U https://journals.sagepub.com/doi/full/10.1177/0142331216668003