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Analysis and Control of Boolean Networks: A Semi-tensor Product Approach

By (author) Daizhan Cheng, By (author) Hongsheng Qi, By (author) Zhiqiang Li

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normal price: R 4 229.95

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| book description |

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 â€“ fixed points, cycles, transient times and basins of attractors â€“ 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.