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Cheng / Qi / Li

Analysis and Control of Boolean Networks

A Semi-tensor Product Approach

Medium: Buch
ISBN: 978-0-85729-096-0
Verlag: Springer
Erscheinungstermin: 02.12.2010
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9780857290960
  • Medium: Buch
  • ISBN: 978-0-85729-096-0
  • Verlag: Springer
  • Erscheinungstermin: 02.12.2010
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2010
  • Serie: Communications and Control Engineering
  • Produktform: Gebunden
  • Gewicht: 1890 g
  • Seiten: 472
  • Format (B x H x T): 167 x 245 x 35 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Propositional Logic.- Semi-tensor Product of Matrices.- Matrix Expression of Logic.- Logical Equation.- Topological Structure of Boolean Networks.- Input-state Approach of Boolean Control Networks.- Controllability and Observability of BCN.- Realization of BCN.- Stability and Stabilization.- Disturbance Decoupling.- k-valued Network.- Input–Output Decomposition.- Random Boolean Network.- Appendix: Numerical Algorithms.