Inclusion principle and overlapping decompositions of distributed-time-delay systems

Abstract

The inclusion principle for distributed-time-delay systems is defined. The properties of input-output map equivalence and preservation of stability between two systems, one of which includes the other, are presented. Controller and observer design, using the inclusion principle, are also discussed. Finally, overlapping decompositions of distributed-time-delay systems is illustrated. The use of overlapping decompositions in controller and observer design is also presented