Analysis and Control of Boolean Networks: A Semi-tensor Product Approach (Communications and Control Engineering) by Daizhan Cheng, Hongsheng Qi, Zhiqiang Li Semi-tensor Product Approach
Publisher: S-ger | 2011 | ISBN: 0857290967 | PDF | 460 pages | 2 MB
The
Boolean network has become a powerful tool for describing and simulating cellular networks in which the elements behave in an on–off fashion. 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 exed as a conventional discrete-time linear system. In the light of this linear exion, 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.