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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % The program "main.m" reads a square matrix, % the probability transition matrix of the network, % "P_matrix.xls" in excel format and returns as output % the optimal perturbation matrix "C", which forces % the network to transition from its initial steady-state to the desired steady-state pid. % This code uses the CVX software. For installation instructions, please % refer to: http://cvxr.com/cvx/download

0001 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0002 %% The program "main.m" reads a square matrix, 0003 %% the probability transition matrix of the network, 0004 %% "P_matrix.xls" in excel format and returns as output 0005 %% the optimal perturbation matrix "C", which forces 0006 %% the network to transition from its initial steady-state to the desired steady-state pid. 0007 %% This code uses the CVX software. For installation instructions, please 0008 %% refer to: http://cvxr.com/cvx/download 0009 0010 %% Define the variables 0011 %%%%%%%%%%%%%%%%%%%%%%%% 0012 0013 [P0,Txt,Raw]=xlsread('P_matrix'); 0014 N = size(P0,1); 0015 OneVec = ones(N,1); 0016 0017 0018 %% Define the desired steady-state distribution 0019 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0020 0021 pid1 = 0.015525 * ones(64,1); 0022 pid2 = 10^(-4) * ones(64,1); 0023 pid = [pid1;pid2]; 0024 0025 0026 %% Call the optimal_control function 0027 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 0028 0029 C = optimal_control(P0,pid); 0030 0031 0032 %% Writing and plotting 0033 %%%%%%%%%%%%%%%%%%%%%%%% 0034 0035 success = xlswrite('Perturbation-Matrix', C); 0036