Non-fragile observer design for neutral systems with mixed time-varying delay and nonlinear perturbations

This paper deals with the problem of the delay-dependent non-fragile observer-based control for neutral systems with mixed time-varying delay and nonlinear perturbations. The additive gain variations under consideration are contained in both the controller gain and observer gain. By using a class of improved augmented Lyapunov-krasovskii functionals and new decoupling matrix variables approach, novel delay-dependent stability criteria are proposed to guarantee the stability of the nonfragile observer-based control systems. In terms of solution a set of linear matrix inequalities, the observer design and maximum allowable delay bound of neutral systems can be obtained. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.