Box Invariance of hybrid and switched systems
A. Abate, A. Tiwari

Citation
A. Abate, A. Tiwari. "Box Invariance of hybrid and switched systems". Proceedings of the 2nd IFAC Conference on Analysis and Design of Hybrid Systems, ifac, June, 2006.

Abstract
This paper investigates the concept of box invariance for classes of hybrid and switched systems. After motivating and defining the notion, we present a concise summary of results on its characterization for single-domain dynamical systems. The notion is then extended to the case of hybrid and switched systems. We provide sufficient conditions for a hybrid or switched system to be box invariant. Models of many real systems, especially those drawn from biology, have been found to be box invariant. This paper illustrates the concept using a pharmacodynamic model of blood glucose metabolism.

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Citation formats

• HTML

  A. Abate, A. Tiwari. <a
  href="http://chess.eecs.berkeley.edu/pubs/216.html"
  >Box Invariance of hybrid and switched systems</a>,
  Proceedings of the 2nd IFAC Conference on Analysis and
  Design of Hybrid Systems, ifac, June, 2006.

• Plain text

  A. Abate, A. Tiwari. "Box Invariance of hybrid and
  switched systems". Proceedings of the 2nd IFAC
  Conference on Analysis and Design of Hybrid Systems, ifac,
  June, 2006.

• BibTeX

  @inproceedings{AbateTiwari06_BoxInvarianceOfHybridSwitchedSystems,
      author = {A. Abate and A. Tiwari},
      title = {Box Invariance of hybrid and switched systems},
      booktitle = {Proceedings of the 2nd IFAC Conference on Analysis
                and Design of Hybrid Systems},
      organization = {ifac},
      month = {June},
      year = {2006},
      abstract = {This paper investigates the concept of box
                invariance for classes of hybrid and switched
                systems. After motivating and defining the notion,
                we present a concise summary of results on its
                characterization for single-domain dynamical
                systems. The notion is then extended to the case
                of hybrid and switched systems. We provide
                sufficient conditions for a hybrid or switched
                system to be box invariant. Models of many real
                systems, especially those drawn from biology, have
                been found to be box invariant. This paper
                illustrates the concept using a pharmacodynamic
                model of blood glucose metabolism.},
      URL = {http://chess.eecs.berkeley.edu/pubs/216.html}
  }
  

Posted by Alessandro Abate on 24 Apr 2007.
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