Hierarchies of Stabilizability Preserving Linear Systems
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Abstract
Hierarchical decompositions of control systems are important for reducing the analysis and design of large scale systems. Such decompositions depend on the notion of abstraction: Given a large scale system and a desired property, one tries to extract an abstracted model with equivalent properties, while ignoring details that are irrelevant. Checking the property on the abstraction should be equivalent to checking the property on the original system. In this paper, we focus on large scale linear systems nad the property of stabilizability. This results in a hierarchy of linear abstractions that are equivalent from a stabilizability point of view. This is important as high level controller designs are guaranteed to have lower level implementations.
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Copyright 2001 IEEE. Reprinted from Proceedings of the 40th IEEE Conference on Decision and Control 2001, Volume 3, pages 2081-2086. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
Copyright 2001 IEEE. Reprinted from Proceedings of the 40th IEEE Conference on Decision and Control 2001, pages 2081-2086 vol. 3. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.