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.

Keywords:

Linear systems , parametric uncertainties , Time invariant delay