04378nam a22005295i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001200172100002900184245015000213264005900363300003400422336002600456337002600482338003600508347002400544490005500568505044000623520205101063650001703114650002203131650002303153650002003176650001703196650002903213650001303242650004403255650004203299650002103341650004503362700002803407700002703435710003403462773002003496776003603516830005503552856010103607912001403708942001203722999001703734952009703751978-0-85729-097-7DE-He21320260521092036.0cr nn 008mamaa101123s2011 xxk| s |||| 0|eng d a9780857290977 a997808572909777 a10.1007/978-0-85729-097-72doi04a5192231 aCheng, Daizhan.eauthor.10aAnalysis and Control of Boolean Networksh[electronic resource] :bA Semi-tensor Product Approach /cby Daizhan Cheng, Hongsheng Qi, Zhiqiang Li. 1aLondon :bSpringer London :bImprint: Springer,c2011. aXVI, 472 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aCommunications and Control Engineering,x0178-53540 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. 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. 0aMATHEMATICS. 0aCOMPUTER SCIENCE. 0aBIOLOGICAL MODELS. 0aSYSTEMS THEORY.14aMATHEMATICS.24aSYSTEMS THEORY, CONTROL.24aCONTROL.24aMATHEMATICAL AND COMPUTATIONAL BIOLOGY.24aBIOLOGICAL NETWORKS, SYSTEMS BIOLOGY.24aSYSTEMS BIOLOGY.24aMATHEMATICAL LOGIC AND FORMAL LANGUAGES.1 aQi, Hongsheng.eauthor.1 aLi, Zhiqiang.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780857290960 0aCommunications and Control Engineering,x0178-535440uhttp://dx.doi.org/10.1007/978-0-85729-097-7zVer el texto completo en las instalaciones del CICY aZDB-2-ENG 2ddccER c35876d35876 00102ddc40708LEaCICYbCICYcELd2025-10-06l0o519r2025-10-06 08:44:42w2025-10-06yER