Controller design using extension for neutral distributed-time-delay systems

Extension principle is first defined for neutral distributed-time-delay systems. Necessary and sufficient conditions for one such system being an extension of the other are then presented. Contractibility of controllers for such systems is then discussed. It is shown that, any controller designed for the expanded system can be contracted for implementation on the original system, if the expanded system is an extension of the original system. Stability and good performance are then considered. It is shown that, provided that the expanded system is an extension of the original system, the contracted controller achieves stability and good performance for the original system if the controller designed for the expanded system achieves stability and good performance for the expanded system.