Robust control of uncertain neutral distributed parameter systems

The problem of robust control for a class of uncertian neutral distributed parameter systems is investigated by designing linear feedback controller. The sufficient conditions of stabilization is derived in terms of linear matrix inequalities by constructing the appropriate Lyapunov functionals and by using divergence theorem and matrix inequality technologies. The criteria obtained in this paper only need to satisfy two linear matrix inequalities and can be tested easily by LMI toolbox in Matlab. It's applied to engineering practice conveniently. A numerical example is given to illustrate the validity of the method.