Communications and Control Engineering

A Semi-tensor Product Approach

By: Daizhan Cheng, Hongsheng Qi, Zhiqiang Li

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Paperback | 27 January 2013

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488 Pages

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23.39 x 15.6 x 2.49

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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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"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 PrepeliÅ£Ä, Zentralblatt MATH, Vol. 1209, 2011)

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