A maximum principle for single-input Boolean control networks

Dmitriy Laschov*, Michael Margaliot

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

251 Scopus citations

Abstract

Boolean networks have recently been attracting considerable interest as computational models for genetic and cellular networks. We consider a Mayer-type optimal control problem for a single-input Boolean network, and derive a necessary condition for a control to be optimal. This provides an analog of Pontryagin's maximum principle for single-input Boolean networks.

Original languageEnglish
Article number5676181
Pages (from-to)913-917
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume56
Issue number4
DOIs
StatePublished - Apr 2011

Funding

FundersFunder number
Israel Science Foundation

    Keywords

    • Logical functions
    • necessary condition for optimality
    • needle variation
    • semi-tensor product
    • sum of products representation
    • systems biology
    • variational analysis

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