Minimum-time control of Boolean networks: An algebraic approach

Dmitriy Laschov; Michael Margaliot

doi:10.1109/CDC.2014.7039619

Minimum-time control of Boolean networks: An algebraic approach

Dmitriy Laschov, Michael Margaliot

School of Electrical Engineering

Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We consider the problem of steering a Boolean control network (BCN) between two given states in minimal time. Using the algebraic state-space representation (ASSR) of BCNs, we derive several necessary conditions for a control to be time-optimal. In the ASSR, every state and input vector is a canonical vector. Using this special structure yields an explicit state-feedback formula for all time-optimal controls.

Original language	English
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1545-1550
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7039619
State	Published - 2014
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February

Conference

Conference	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2014.7039619

Cite this

Laschov, D., & Margaliot, M. (2014). Minimum-time control of Boolean networks: An algebraic approach. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 1545-1550). Article 7039619 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2014.7039619

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Laschov, D & Margaliot, M 2014, Minimum-time control of Boolean networks: An algebraic approach. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7039619, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 1545-1550, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7039619

Minimum-time control of Boolean networks: An algebraic approach. / Laschov, Dmitriy; Margaliot, Michael.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 1545-1550 7039619 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - We consider the problem of steering a Boolean control network (BCN) between two given states in minimal time. Using the algebraic state-space representation (ASSR) of BCNs, we derive several necessary conditions for a control to be time-optimal. In the ASSR, every state and input vector is a canonical vector. Using this special structure yields an explicit state-feedback formula for all time-optimal controls.

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Minimum-time control of Boolean networks: An algebraic approach

Abstract

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Conference

All Science Journal Classification (ASJC) codes

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