Analysis and Control of Boolean Networks: A Semi-tensor Product Approach
Daizhan Cheng, Hongsheng Qi, "Analysis and Control of Boolean Networks: A Semi-tensor Product Approach"
2011 | ISBN-10: 0857290967, 1447126114 | 488 pages | PDF | 2 MB
2011 | ISBN-10: 0857290967, 1447126114 | 488 pages | PDF | 2 MB
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.