Analysis and Control of Boolean Networks
A Semi-tensor Product Approach
Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Technology, Automation, Reference & Language, Reference
| Author: | Daizhan Cheng, Hongsheng Qi, Zhiqiang Li | ISBN: | 9780857290977 |
| Publisher: | Springer London | Publication: | November 23, 2010 |
| Imprint: | Springer | Language: | English |
| Author: | Daizhan Cheng, Hongsheng Qi, Zhiqiang Li |
| ISBN: | 9780857290977 |
| Publisher: | Springer London |
| Publication: | November 23, 2010 |
| Imprint: | Springer |
| Language: | English |
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.
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.
