Title
Analysis And Control Of Boolean Networks: A Semitensor Product Approach (Communications And Control Engineering),Used
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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 semitensor product (STP). Using the STP, a logical function can be expressed as a conventional discretetime 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 statespace approach to dynamic control systems applicable to Boolean control networks. The bilinearsystemic 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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