Controllability Measure of Piecewise Affine Systems and Its Applications to the Luminescence Bacterium

Daijiroh SUGIYAMA
Jun-ichi IMURA

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E90-A    No.11    pp.2472-2477
Publication Date: 2007/11/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e90-a.11.2472
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Concurrent/Hybrid Systems: Theory and Applications)
Category: 
Keyword: 
hybrid systems,  piecewise affine systems,  gene regulatory networks,  controllability,  probabilistic analysis,  

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Summary: 
This paper proposes a notion of a controllability measure of discrete-time piecewise affine systems, which is a natural extension of the controllability gramian of linear systems. Although this measure is calculated in a probabilistic way, it may be applied to control of biological systems for providing a policy to experiments for pharmaceutical developments. Thus an application to gene regulatory control of luminescence in the marine bacterium modeled by the piecewise affine system is discussed in this paper.

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