Title | ||
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Optimal control of Boolean control networks with average cost: A policy iteration approach. |
Abstract | ||
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This paper deals with the infinite horizon optimal control problem for deterministic Boolean control networks (BCNs) with average cost. Based on the semi-tensor product of matrices and Jordan decomposition technique, a nested optimality equation for the average infinite horizon problem of BCNs is presented. By resorting to Laurent series expression, a novel policy iteration algorithm, which can find the optimal state feedback controller in finite iteration steps, is proposed. Finally, as a practical application, the optimal intervention problem of Ara operon in E. coil is addressed. |
Year | DOI | Venue |
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2019 | 10.1016/j.automatica.2018.11.036 | Automatica |
Keywords | Field | DocType |
Boolean control networks,Semi-tensor product (STP),Average optimal control,Infinite horizon optimal control,Policy iteration | Mathematical optimization,Optimal control,Matrix (mathematics),Full state feedback,Laurent series,Average cost,Electromagnetic coil,Infinite horizon,Optimality equation,Mathematics | Journal |
Volume | Issue | ISSN |
100 | 100 | 0005-1098 |
Citations | PageRank | References |
14 | 0.51 | 13 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yuhu Wu | 1 | 90 | 7.40 |
Xi-Ming Sun | 2 | 850 | 62.94 |
Xudong Zhao | 3 | 2027 | 94.90 |
Tielong Shen | 4 | 243 | 40.52 |