Stabilization in the Sample-and-Hold Sense of Nonlinear Retarded Systems: Further insights and perspectives

This paper deals with the stabilization in the sample-and-hold sense of systems described by retarded functional differential equations. Further insights and different perspectives of the main results in the paper by this author, titled Stabilization in the Sample-and-Hold Sense of Nonlinear Retarded Systems, SIAM SICON, 2014, are presented. In particular, it is shown that, as in the case of systems described by ordinary differential equations, the sampled-data state feedback controller is robust with respect to small actuator disturbances, and, in the case strict input constraints do not arise, it is not necessary that the steepest descent state feedback, induced by a control Lyapunov-Krasovskii functional, takes values in a compact set of the input Euclidean space. Finally, new examples are presented in order to show the effectiveness of this methodology. @ IEEE CDC 2015 category: SIAM Regular Paper.