Clustering-based ℌ2-state aggregation of positive networks and its application to reduction of chemical master equations

In this paper, based on a notion of network clustering, we propose a state aggregation method for positive systems evolving over directed networks, which we call positive networks. In the proposed method, we construct a set of clusters (i.e., disjoint sets of state variables) according to a kind of...

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Bibliographic Details

Published in:	2012 IEEE 51st IEEE Conference on Decision and Control (CDC) pp. 4175 - 4180
Main Authors:	Ishizaki, T., Kashima, K., Girard, A., Imura, J., Luonan Chen, Aihara, K.
Format:	Conference Proceeding
Language:	English
Published:	IEEE 01.12.2012
Subjects:	Chemicals Eigenvalues and eigenfunctions Equations Manganese Mathematical model Redundancy Vectors
ISBN:	9781467320658, 146732065X
ISSN:	0191-2216
Online Access:	Get full text
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