Overview
- Authors:
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Daizhan Cheng
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Academy of Mathematics & Systems Science, Institute of Systems Science, Chinese Academy of Sciences, Beijing, China, People's Republic
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Hongsheng Qi
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, Institute of Systems, AMSS, Chinese Academy of Sciences, Beijing, China, People's Republic
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Zhiqiang Li
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, Institute of Systems, AMSS, Chinese Academy of Sciences, Beijing, China, People's Republic
- Shows the reader methods of dealing with biologically-derived networks mathematically using well-known and proven techniques MATLAB® toolbox allows the reader to simulate the results of algorithms easily Demonstrates how logical functions can be translated into matrices for arithmetic treatment.
- Includes supplementary material: sn.pub/extras
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Table of contents (19 chapters)
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 1-18
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 19-53
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 55-65
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 67-101
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 103-140
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 141-161
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 163-187
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 189-212
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 213-231
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 233-248
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 249-273
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 275-296
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 297-311
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 313-345
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 347-369
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 371-388
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 389-407
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 409-429
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- Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
Pages 431-450
About this book
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.
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)
About the authors
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.
