A maximum principle for single-input Boolean control networks

Dmitriy Laschov; Michael Margaliot

doi:https://doi.org/10.1109/TAC.2010.2101430

A maximum principle for single-input Boolean control networks

Dmitriy Laschov, Michael Margaliot

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	5676181
Pages (from-to)	913-917
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	56
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2010.2101430
State	Published - Apr 2011

Keywords

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

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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https://doi.org/10.1109/TAC.2010.2101430

Cite this

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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.",

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

author = "Dmitriy Laschov and Michael Margaliot",

note = "Funding Information: Manuscript received June 30, 2010; revised December 02, 2010; accepted December 13, 2010. Date of publication December 30, 2010; date of current version April 06, 2011. This work was supported in part by the Israel Science Foundation (ISF). Recommended by Associate Editor M. Egerstedt.",

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AB - 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.

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KW - needle variation

KW - semi-tensor product

KW - sum of products representation

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ER -

A maximum principle for single-input Boolean control networks

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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