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 keep watch over of Boolean Networks provides a scientific new method of the research of Boolean regulate networks. the basic instrument during this process is a singular matrix product known as the semi-tensor product (STP). utilizing the STP, a logical functionality might be expressed as a traditional discrete-time linear process. within the gentle of this linear expression, definite significant matters referring to Boolean community topology – fastened issues, cycles, brief occasions and basins of attractors – may be simply published via a suite of formulae. This framework renders the state-space method of dynamic regulate structures appropriate to Boolean keep watch over networks. The bilinear-systemic illustration of a Boolean keep an eye on community makes it attainable to enquire uncomplicated keep an eye on difficulties together with controllability, observability, stabilization, disturbance decoupling etc.

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