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A Maximum Principle for Single-Input Boolean Control Networks
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DOI：10.1109/TAC.2010.2101430.png)
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Abstract
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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
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