A Maximum Principle for Single-Input Boolean Control Networks

被引：233

作者：

Laschov, Dmitriy ^{[1
]}

Margaliot, Michael ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Elect Engn Syst, IL-69978 Tel Aviv, Israel

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 04期

基金：

以色列科学基金会;

关键词：

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

D O I：

10.1109/TAC.2010.2101430

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：913 / 917

页数：5

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