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psfig("rcPPP_lin");
## Simulate non-linear PPP (on this linear system)
extras.U_initial = "zero";
extras.U_next = "continuation";
extras.criterion = 1e-5;
extras.max_iterations = 10;
extras.alpha = 0;
extras.v = 0;
extras.verbose = 0;
## -- with no optimisation using linear PPP with continuation
disp("Linear PPP at time zero with continuation trajectories")
extras.U_initial = "linear";
extras.U_next = "continuation";
extras.criterion = 1e-5;
extras.alpha = 0;
extras.v = 0;
extras.max_iterations = 0;
[y_c,x,u_c,t,U,U_c,U_l] = ppp_nlin_sim (system_name,A_u,tau,t_ol,N,w,extras);
## -- with no optimisation using linear PPP at each step
disp("Linear PPP at each step")
extras.U_initial = "linear";
extras.U_next = "linear";
extras.criterion = 1e-5;
extras.max_iterations = 0;
extras.alpha = 0;
extras.v = 0;
[y_l,x,u_l,t,U,U_c,U_l] = ppp_nlin_sim (system_name,A_u,tau,t_ol,N,w,extras);
## -- with optimisation using nonlinear PPP with continuation
disp("Nonlinear PPP");
extras.U_initial = "zero";
extras.U_next = "continuation";
extras.alpha = 0.0001;
extras.criterion = 1e-6;
extras.max_iterations = 1000;
extras.v = 1e-5;
extras.criterion = 1e-5;
extras.max_iterations = 100;
extras.verbose = 0;
[y,x,u,t,U,U_c,U_l] = ppp_nlin_sim (system_name,A_u,tau,t_ol,N,w,extras);
## Plots
title("");
## U, U_c and U_l
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ty_c = [t' y_c'] ;
ty_l = [t' y_l'] ;
ty = [t' y'] ;
tu = [t' u'];
gplot ty_c title "Continuation", ty_l title "Linear", ty title "Optimisation"
psfig("rcPPP_nppp");
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