Please use this identifier to cite or link to this item: https://doi.org/10.1109/TAC.2008.2009482
Title: Inclusion principle for descriptor systems
Authors: Chu, D. 
Ohta, Y.
Šiljak, D.D.
Keywords: Contractibility
Contractions
Controllability at infinity
Descriptor systems
Expansions
Inclusion principle
Issue Date: 2009
Citation: Chu, D., Ohta, Y., Šiljak, D.D. (2009). Inclusion principle for descriptor systems. IEEE Transactions on Automatic Control 54 (1) : 3-18. ScholarBank@NUS Repository. https://doi.org/10.1109/TAC.2008.2009482
Abstract: 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. © 2009 IEEE.
Source Title: IEEE Transactions on Automatic Control
URI: http://scholarbank.nus.edu.sg/handle/10635/103410
ISSN: 00189286
DOI: 10.1109/TAC.2008.2009482
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