- Previous Article
- Next Article
- Table of Contents
IEEE Transactions on Automatic Control, Vol.54, No.1, 3-18, 2009
Inclusion Principle for Descriptor Systems
The purpose of this paper is to propose an expansion-contraction framework for linear constant descriptor systems within the inclusion principle for dynamic systems. Our primary objective is to provide an explicit characterization of the expansion process whereby a given descriptor system is expanded into the larger space where all its solutions are reproducible by the expanded descriptor system if appropriate initial conditions are selected. When a control law is formulated in the expanded space, the proposed characterizations provide contractibility conditions for implementation of the control law in the original system. A full freedom is provided for selecting appropriate matrices in the proposed expansion-contraction control scheme. In particular, the derived theoretical framework serves as a flexible environment for expansion-contraction control design of descriptor systems under overlapping information structure constraints.
Keywords:Contractibility;contractions;controllability at infinity;descriptor systems;expansions;inclusion principle