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Analysis and Control of Boolean Networks : A Semi-tensor Product Approach

By: Daizhan Cheng Hongsheng Qi Zhiqiang Li (Author)

Ksh 16,110.00
Format :

Format(s): DRM PDF

ISBN-13: 9780857290977

Publisher: Springer London

Imprint: Springer

Publication Date: November 23rd, 2010

Country of Publication: GB

Language: English

Physical Edition EAN: 9780857290960

Category: Cybernetics & systems theory , Maths for scientists , Life sciences: general issues , Automatic control engineering , Mathematical theory of computation

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  • Author Bio

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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