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About Analysis and Control of Boolean Networks: A Semi-tensor Product Approach
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.
Detailed Information
Author: | Daizhan Cheng, Hongsheng Qi, Zhiqiang Li |
---|---|
Publication Year: | 2010 |
ISBN: | 857290967 |
Pages: | 487 |
Language: | English |
File Size: | 1.981 |
Format: | |
Price: | FREE |
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