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test_lyap_time.m
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test_lyap_time.m
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clc
% Test LYAP against the built-in (i.e., Control Toolbox) implementation.
n = 100;
m = n+1;
loop = 10;
currDir = cd;
lyapDir = fileparts(which('sylvslv'));
rng(0)
A = rand(n);
Q = rand(n);
B = rand(m);
C = rand(n,m);
E = rand(n);
cd(lyapDir)
fprintf('built-in real AQ:\n')
tic
for k = 1:loop
U = lyap(A, Q);
end
toc
cd(currDir)
fprintf('new real AQ:\n')
tic
for k = 1:loop
U = lyap(A, Q);
end
toc
disp(' ')
%%
cd(lyapDir)
fprintf('built-in real ABC:\n')
tic
for k = 1:loop
U = lyap(A, B, C);
end
toc
cd(currDir)
fprintf('new real ABC:\n')
tic
for k = 1:loop
U = lyap(A, B, C);
end
toc
disp(' ')
%%
% Built-in LYAP is fussy in this mode:
Q = Q + Q';
cd(lyapDir)
fprintf('built-in real AQ[]E:\n')
tic
for k = 1:loop
U = lyap(A, Q, [], E);
end
toc
cd(currDir)
fprintf('new real AQ[]E:\n')
tic
for k = 1:loop
U = lyap(A, Q, [], E);
end
toc
disp(' ')
%%
rng(0)
A = rand(n) + 1i*rand(n); Q = rand(n) + 1i*rand(n);
B = rand(m) + 1i*rand(m); C = rand(n,m) + 1i*rand(n,m);
E = rand(n) + 1i*rand(n);
cd(lyapDir)
fprintf('built-in complex AQ:\n')
tic
for k = 1:loop
U = lyap(A, Q);
end
toc
cd(currDir)
fprintf('new complex AQ:\n')
tic
for k = 1:loop
U = lyap(A, Q);
end
toc
disp(' ')
%%
cd(lyapDir)
fprintf('built-in complex ABC:\n')
tic
for k = 1:loop
U = lyap(A, B, C);
end
toc
cd(currDir)
fprintf('new complex ABC:\n')
tic
for k = 1:loop
U = lyap(A, B, C);
end
toc
disp(' ')
%%
rng(0)
A = rand(n) + 1i*rand(n); Q = rand(n) + 1i*rand(n);
B = rand(n) + 1i*rand(n); C = rand(n) + 1i*rand(n);
cd(lyapDir)
fprintf('built-in complex A(A.'')C:\n')
tic
for k = 1:loop
U = lyap(A, A.', C);
end
toc
cd(currDir)
fprintf('new complex A(A.'')C:\n')
tic
for k = 1:loop
U = lyap(A, A.', C);
end
toc
disp(' ')
%%
rng(0)
A = schur(A, 'complex');
cd(lyapDir)
fprintf('built-in complex A(A.'')C with precomputed Schur:\n')
tic
for k = 1:loop
U = lyap(A, A.', C);
end
toc
cd(currDir)
fprintf('new complex A(A.'')C with precomputed Schur:\n')
tic
for k = 1:loop
U = lyap(A, A.', C);
end
toc