Title :
A Maximum Principle for Single-Input Boolean Control Networks
Author :
Laschov, Dmitriy ; Margaliot, Michael
Author_Institution :
Sch. of Electr. Eng.-Syst., Tel Aviv Univ., Tel Aviv, Israel
fDate :
4/1/2011 12:00:00 AM
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 :
Boolean algebra; maximum principle; tensors; Mayer type optimal control problem; Pontryagin maximum principle; cellular network; computational model; genetic network; single input boolean control network; Biological system modeling; Boolean functions; Matrix converters; Optimal control; Switched systems; Switches; Logical functions; necessary condition for optimality; needle variation; semi-tensor product; sum of products representation; systems biology; variational analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2101430
