Extension Principle and Controller Design for Neutral Time-delay Systems

Extension principle, which is a special case of inclusion, is defined for neutral point-wise time-delay systems. Necessary and sufficient conditions for the extension principle to hold for such systems are then presented. Next, controler design for such systems is discussed and it is shown that when the expanded system is an extension of the original system, then any controller designed for the expanded system is contractible for implementation on the original system. This result enables controller design using overlapping decompositions for a large- scale neutral time-delay system which has an overlapping structure, which is also presented.