Approximate feedback linearization of a class of nonlinear systems with time-varying delays in states via matrix inequality

In this paper, feedback linearization method is proposed for nonlinear systems with a time varying delay in states. The diffeomorphism is presented to linearize the state-delayed nonlinear system if time-varying delay is known. Furthermore, we propose a control scheme to stabilize the approximate feedback linearizable system under the proposed conditions if the first order derivative of timevarying delay and the parametric uncertainties are finite and measurable.