Output regulation of linear time-varying delay systems

This paper considers output regulation of linear time-varying delay systems. By introducing the integral inequality and reciprocal convex combination approach to constructed an augmented Lyapunov-Krasovskii functional, a new delay-dependent stability criteria is presented based on strict linear matrix inequalities (LMIs). The solvabiltiy problem of the output regulation equation with time-varying delay is converted into tracking the output error problem. Sufficient condition for the solvability of the tracking error problem is presented. An example is provided to demonstrate the effectiveness of the proposed method.