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|Title:||Inclusion principle for descriptor systems|
|Authors:||Chu, D. |
Controllability at infinity
|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|
|Appears in Collections:||Staff Publications|
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