Study of changes in parametric uncertainty on a class of linear systems with time invariant delay

This paper reports on an investigation the changes in uncertainty on a class of linear systems with time invariant delay. The parametric uncertainties under consideration are time varying and norm-bounded. By using a Lyapunov-Krasovskii functional, a controller for the stabilization over a finite time interval is designed in terms of a set of linear matrix inequalities. The problem of parametric uncertainties in the linear system is solved by deploying the Yakubovich lemma. The numerical example is given to illustrate the results.