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

By Daizhan Cheng, Zhiqiang Li, Hongsheng Qi

Book Overview

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.

• Format: Hardcover
• Language: English
• ISBN: 0857290967
• ISBN13: 9780857290960
• Release Date: December 2010
• Publisher: Springer
• Length: 472 Pages
• Weight: 1.89 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"