Download Analysis and Control of Boolean Networks: A Semi-tensor by Daizhan Cheng, Hongsheng Qi, Zhiqiang Li PDF

By Daizhan Cheng, Hongsheng Qi, Zhiqiang Li

The Boolean community has turn into a strong instrument for describing and simulating mobile networks during which the weather behave in an on–off type. research and keep an eye on of Boolean Networks offers a scientific new method of the research of Boolean keep watch over networks. the elemental device during this method is a singular matrix product known as the semi-tensor product (STP). utilizing the STP, a logical functionality could be expressed as a traditional discrete-time linear procedure. within the mild of this linear expression, convinced significant concerns bearing on Boolean community topology – fastened issues, cycles, temporary instances and basins of attractors – should be simply published by way of a collection of formulae. This framework renders the state-space method of dynamic regulate structures acceptable to Boolean regulate networks. The bilinear-systemic illustration of a Boolean keep an eye on community makes it attainable to enquire simple regulate difficulties together with controllability, observability, stabilization, disturbance decoupling, id, optimum regulate, and so forth.

The booklet is self-contained, requiring merely wisdom of linear algebra and the fundamentals of the keep watch over idea of linear structures. It starts with a brief advent to prepositional common sense and the innovations and houses of the STP and progressing through the (bi)linear expression of Boolean (control) networks to disturbance decoupling and decomposition of Boolean keep an eye on platforms. eventually multi-valued good judgment is taken into account as a extra unique approach of describing actual networks and stochastic Boolean networks are touched upon. appropriate numerical calculations are defined in an appendix and a MATLAB® toolbox for the algorithms within the booklet may be downloaded from http://lsc.amss.ac.cn/~dcheng/.

Analysis and keep an eye on of Boolean Networks might be a primary reference for researchers in structures biology, regulate, structures technology and physics. The e-book used to be built for a quick direction for graduate scholars and is acceptable for that goal. laptop scientists and logicians can also locate this booklet to be of curiosity.

Show description

Read or Download Analysis and Control of Boolean Networks: A Semi-tensor Product Approach PDF

Best system theory books

Advances in Variable Structure and Sliding Mode Control

Sliding Mode keep an eye on is famous as an effective device to layout controllers that are strong with recognize to uncertainty. The ensuing controllers have low sensitivity to plant parameters and perturbations and make allowance the potential for decoupling the unique plant procedure into parts of reduce size.

Controlled Diffusion Processes

This booklet bargains with the optimum keep watch over of strategies of absolutely observable Itô-type stochastic differential equations. The validity of the Bellman differential equation for payoff capabilities is proved and principles for optimum keep watch over ideas are built. subject matters contain optimum preventing; one dimensional managed diffusion; the Lp-estimates of stochastic crucial distributions; the life theorem for stochastic equations; the Itô formulation for features; and the Bellman precept, equation, and normalized equation.

Biomedical Applications of Control Engineering

Biomedical purposes of keep watch over Engineering is a lucidly written textbook for graduate regulate engin­eering and biomedical engineering scholars in addition to for scientific prac­ti­tioners who are looking to get familiar with quantitative tools. it's in line with a long time of expertise either up to the mark engineering and medical perform.

Passivity-Based Control and Estimation in Networked Robotics

Highlighting the regulate of networked robot structures, this booklet synthesizes a unified passivity-based method of an rising cross-disciplinary topic. because of this unified procedure, readers can entry quite a few cutting-edge study fields by means of learning simply the historical past foundations linked to passivity.

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

Example text

This yields multivalued logic. If we allow the values to be anything between 1 and 0, we have fuzzy logical values. Next, we define multivalued logic and fuzzy logic rigorously. ,F = 0 Dk = T = 1, k−1 k−1 and Df = {r | 0 ≤ r ≤ 1}. Note that D2 = D is what we defined before for Boolean logic. 7 1. A logical system is called a k-valued logic if its logical variables may take any values from Dk . 2. A logical system is called a fuzzy logic if its logical variables may take any values from Df . 11 k-valued unary operators ¬p p k (p) i,k (p) 1 0 (k − 2)/(k − 1) 0 (k − 2)/(k − 1) ..

8. If A and B are invertible, then A B ∼ B A. 9. If A and B are invertible, then (A B)−1 = B −1 A−1 . 101) 10. If A ≺t B, then If A t t det(A B) = det(A) det(B). det(A B) = det(A) det(B) .

Eis , ej1 , ej2 , . . ,jt 1 ≤ i1 , . . , is , j1 , . . , jt ≤ n is the set of structure constants of φ. Structure constants of φ ∈ Tt s form a set of (s + t)-dimensional data. Next, we consider how to arrange higher-dimensional data. In linear algebra onedimensional data are arranged as a column or a row, called a vector, while twodimensional data are arranged as a rectangle, called a matrix. In these forms matrix computation becomes a very convenient and powerful tool for dealing with oneor two-dimensional data.

Download PDF sample

Rated 4.79 of 5 – based on 31 votes