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.
| Author: Daizhan Cheng |
| Publisher: Springer |
| Publication Date: Jan 27, 2013 |
| Number of Pages: 472 pages |
| Binding: Paperback or Softback |
| ISBN-10: 1447126114 |
| ISBN-13: 9781447126119 |