ENGLISH

Analysis and control of Boolean networks: a semi-tensor product approach

By Cheng , Zhiqiang , Daizhan;Qi , Hongsheng;Li

Book information

Publisher
Springer
ISBN
9780857290960, 9780857290977, 0857290967
ISSN
0178-5354
Language
english
Format
PDF
Filesize
3 MB (3177922 bytes)
Series
Communications and control engineering
Pages
XVI, 470 str.: ilustr.; 24 cm\474
Time added
2020-11-29 04:17:14

Description

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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