Communications and Control Engineering: A Semi-tensor Product Approach

Cheng, Daizhan; Qi, Hongsheng; Li, Zhiqiang

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.

Details

Published by: Springer

Publication Date: 2010-12-02

Format: Hardcover

ISBN-13: 9780857290960

DOI: 10.1007/978-0-85729-097-7

Dimensions: 235cm x155cm

Pages: 472