000 03874nam a2200385za04500
001 17150
008 050703s2011 xxk eng d
020 _a9780857290977 99780857290977
082 _a519
_b223
100 _aCheng, Daizhan.
_eauthor.
_934126
245 _aAnalysis and Control of Boolean Networks
_h[electronic resource]:
_bA Semi-tensor Product Approach /
_cby Daizhan Cheng, Hongsheng Qi, Zhiqiang Li.
300 _aXVI, 472 p.
_bonline resource.
490 _aCommunications and Control Engineering
490 _x-0178-5354
505 _aPropositional 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.
520 _aThe Boolean network has become a powerful tool for describing and simulating cellular networks in which the elements behave in an on-off fashion. 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, identification, optimal control, etc.The book is self-contained, requiring only knowledge of linear algebra and the basics of the control theory of linear systems. It begins with a short introduction to prepositional logic and the concepts and properties of the STP and progressing via the (bi)linear expression of Boolean (control) networks to disturbance decoupling and decomposition of Boolean control systems. Finally multi-valued logic is considered as a more precise way of describing real networks and stochastic Boolean networks are touched upon. Relevant numerical calculations are explained in an appendix and a MATLABĀ® toolbox for the algorithms in the book can be downloaded from http://lsc.amss.ac.cn/~dcheng/.Analysis and Control of Boolean Networks will be a fundamental reference for researchers in systems biology, control, systems science and physics. The book was developed for a short course for graduate students and is suitable for that purpose. Computer scientists and logicians may also find this book to be of interest.
650 _923197
_aMATHEMATICS
650 _923197
_aMATHEMATICS
650 _aControl.
_924383
650 _933829
_aMATHEMATICAL LOGIC AND FORMAL LANGUAGES
650 _933828
_aSYSTEMS BIOLOGY
650 _933826
_aMATHEMATICAL AND COMPUTATIONAL BIOLOGY
650 _933827
_aBIOLOGICAL NETWORKS, SYSTEMAS BIOLOGY
650 _933972
_aSYSTEMS THEORY
650 _933972
_aSYSTEMS THEORY
650 _934127
_aBIOLOGICAL MODELS
650 _923206
_aCOMPUTER SCIENCE
700 _aQi, Hongsheng.
_933830
700 _eauthor.
_934129
700 _aLi, Zhiqiang.
_933832
700 _eauthor.
_934129
710 _aSpringerLink (Online service)
_9111
856 _uhttp://springer.escuelaing.metaproxy.org/book/10.1007/978-0-85729-097-7
_yir a documento
_qURL
942 _2ddc
_cCF
999 _c13899
_d13899