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Optimal Control of Logical Control Networks

Zhao, Yin, Li, Zhiqiang, Cheng, Daizhan·2011·IEEE Transactions on Automatic Control

Abstract

This paper considers the infinite horizon optimal control of logical control networks, including Boolean control networks as a special case. Using the framework of game theory, the optimal control problem is formulated. In the sight of the algebraic form of a logical control network, its cycles can be calculated algebraically. Then the optimal control is revealed over a certain cycle. When the games, using memory μ >; 1 (which means the players only consider previous μ steps' action at each step), are considered, the higher order logical control network is introduced and its algebraic form is also presented, which corresponds to a conventional logical control network (i.e., μ = 1 ). Then it is proved that the optimization technique developed for conventional logical control networks is also applicable to this μ-memory case.

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Metadata

Authors
Zhao, Y., Li, Z., & Cheng, D.
Venue
IEEE Transactions on Automatic Control
Published
2011-08
Volume
56
Issue
8
Pages
1766-1776
ISSN
0018-9286 (ISSN-L)
OpenAlex
W2113609870
Cited by
262
References
1
FWCI
18.06
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Optimal Control of Logical Control Networks. https://app.cochat.ai/papers/10.1109/tac.2010.2092290
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Zhao, Y., Li, Z., & Cheng, D. (2011). Optimal Control of Logical Control Networks. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2010.2092290

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.