Analysis and Control of Boolean Networks

A Semi-tensor Product Approach

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Technology, Automation, Reference & Language, Reference
Cover of the book Analysis and Control of Boolean Networks by Daizhan Cheng, Hongsheng Qi, Zhiqiang Li, Springer London
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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.

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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.

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