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

Cheng, Daizhan; Qi, Hongsheng; Li, Zhiqiang

Rilegato

ISBN 10: 0857290967 ISBN 13: 9780857290960

Casa editrice: Springer Nature, 2010

Riassunto

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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Recensione

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)

L'autore

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.

Dettagli dell?edizione

• Editore: Springer Nature
• Data di pubblicazione: 2010
• ISBN 10: 0857290967
• ISBN 13: 9780857290960
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 470