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Analysis and Control of Boolean Networks: A Semi-tensor Product Approach.
・ISBN 978-0-85729-096-0 hard EUR 99.99
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| 著者・編者 | Cheng, Daizhan / Qi, Hongsheng / Li, Zhiqiang, |
|---|---|
| シリーズ | (Communications and Control Engineering) |
| 出版社 | (Springer London Ltd, UK) |
| 出版年月 | 2010 |
| ページ数 | 472 pp. |
| 言語 | ENG |
| ニュース番号 | <A05-55366> |
解説
Analysis and Control of Boolean Networks presents a systematic new approach to the investigation of Boolean control networks. The fundamental tool in this approach is a novel matrix product called the semi-tensor product (STP). Using the STP, a logical function can be expressed as a conventional discrete-time linear system. In the light of this linear expression, certain major issues concerning Boolean network topology - fixed points, cycles, transient times and basins of attractors - can be easily revealed by a set of formulae. This framework renders the state-space approach to dynamic control systems applicable to Boolean control networks. The bilinear-systemic representation of a Boolean control network makes it possible to investigate basic control problems including controllability, observability, stabilization, disturbance decoupling etc.