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Communications and Control Engineering: Analysis and Control of Boolean Networks: A Semi-Tensor Product Approach (Paperback)
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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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