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

Author:   Daizhan Cheng ,  Hongsheng Qi ,  Zhiqiang Li
Publisher:   Springer London Ltd
Volume:   81
ISBN:  

9780857290960


Pages:   472
Publication Date:   02 December 2010
Format:   Hardback
Availability:   In Print   Availability explained
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Analysis and Control of Boolean Networks: A Semi-tensor Product Approach


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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.

Full Product Details

Author:   Daizhan Cheng ,  Hongsheng Qi ,  Zhiqiang Li
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Volume:   81
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   1.890kg
ISBN:  

9780857290960


ISBN 10:   0857290967
Pages:   472
Publication Date:   02 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Propositional Logic.- Semi-tensor Product of Matrices.- Matrix Expression of Logic.- Logical Equation.- Topological Structure of Boolean Networks.- Input-state Approach of Boolean Control Networks.- Controllability and Observability of BCN.- Realization of BCN.- Stability and Stabilization.- Disturbance Decoupling.- k-valued Network.- Input–Output Decomposition.- Random Boolean Network.- Appendix: Numerical Algorithms.

Reviews

From the reviews: “The aim of the book is to provide a new framework for the study of Boolean control networks. … The book is self-contained and contains many examples which illustrate the concepts and the proposed techniques. … the book represents a fundamental reference for researchers in systems biology, systems science and physics.” (Valeriu Prepeliţă, Zentralblatt MATH, Vol. 1209, 2011)


From the reviews: The aim of the book is to provide a new framework for the study of Boolean control networks. ... The book is self-contained and contains many examples which illustrate the concepts and the proposed techniques. ... the book represents a fundamental reference for researchers in systems biology, systems science and physics. (Valeriu Prepelita, Zentralblatt MATH, Vol. 1209, 2011)


Author Information

Daizhan Cheng received the Ph.D. degree in systems science from Washington University, St. Louis, in 1985. Currently, he is a Professor with the Institute of Systems Science, Chinese Academy of Sciences, Beijing, China. His research interests include nonlinear systems, numerical method, complex systems, etc. Dr. Cheng is Chairman of the Technical Committee on Control Theory (since 2003), Chinese Association of Automation, a Fellow of the IEEE, and a Fellow of the International Federation of Automatic Control. Hongsheng Qi received the Ph.D. degree in systems theory from the Academy of Mathematics and Systems Science, Chinese Academy of Sciences in 2008. He is currently a post-doctoral fellow at the Key Laboratory of Systems and Control, Chinese Academy of Sciences. His research interests include nonlinear systems control, complex systems, etc. Zhiqiang Li received the M.S. degree from Zhengzhou University in 2007. He is currently a Ph.D. student in the Academy of Mathematics and Systems Science, Chinese Academy of Sciences. His research interests include nonlinear systems control, complex systems, etc.

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