Analysis and Control of Boolean Networks: A Semi-tensor by Daizhan Cheng,Hongsheng Qi,Zhiqiang Li

By Daizhan Cheng,Hongsheng Qi,Zhiqiang Li

research and regulate of Boolean Networks offers a scientific new method of the research of Boolean keep watch over networks. the basic device during this method is a unique matrix product referred to as the semi-tensor product (STP). utilizing the STP, a logical functionality will be expressed as a traditional discrete-time linear approach. within the mild of this linear expression, sure significant concerns relating Boolean community topology – fastened issues, cycles, brief instances and basins of attractors – will be simply published via a suite of formulae. This framework renders the state-space method of dynamic keep watch over structures appropriate to Boolean keep an eye on networks. The bilinear-systemic illustration of a Boolean keep watch over community makes it attainable to enquire easy keep watch over difficulties together with controllability, observability, stabilization, disturbance decoupling etc.

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