Title :
Minimum-time control of Boolean networks: An algebraic approach
Author :
Laschov, Dmitriy ; Margaliot, Michael
Author_Institution :
Sch. of Elec. Eng.-Syst., Tel Aviv Univ., Tel Aviv, Israel
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.
Keywords :
Boolean functions; optimal control; state feedback; state-space methods; ASSR; BCN; Boolean control network; Boolean networks; algebraic approach; algebraic state-space representation; canonical vector; minimum-time control; state-feedback formula; time-optimal controls; Biological system modeling; Optimal control; Switches; Trajectory; Vectors;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039619
