システム
の安定解析問題に関する連立 LMI
を解く.
なお,このシステムは安定である.
>> lyapunov
SeDuMi 1.3 by AdvOL, 2005-2008 and Jos F. Sturm, 1998-2003.
Alg = 2: xz-corrector, theta = 0.250, beta = 0.500
eqs m = 3, order n = 5, dim = 9, blocks = 3
nnz(A) = 9 + 0, nnz(ADA) = 9, nnz(L) = 6
it : b*y gap delta rate t/tP* t/tD* feas cg cg prec
0 : 2.89E+001 0.000
1 : 0.00E+000 6.12E+000 0.000 0.2116 0.9000 0.9000 0.02 1 1 7.8E+000
2 : 0.00E+000 2.17E-001 0.000 0.0355 0.9900 0.9900 0.43 1 1 3.4E-001
3 : 0.00E+000 1.50E-005 0.000 0.0001 1.0000 1.0000 0.97 1 1 2.4E-005
4 : 0.00E+000 1.51E-012 0.000 0.0000 1.0000 1.0000 1.00 1 1 2.4E-012
iter seconds digits c*x b*y
4 0.1 1.5 -1.0737681173e-012 0.0000000000e+000
|Ax-b| = 1.0e-012, [Ay-c]_+ = 0.0E+000, |x|= 1.1e-012, |y|= 8.4e+000
Detailed timing (sec)
Pre IPM Post
1.500E-002 5.000E-002 6.005E-003
Max-norms: ||b||=0, ||c|| = 1,
Cholesky |add|=0, |skip| = 0, ||L.L|| = 1.18267.
sol =
yalmiptime: 0.1510
solvertime: 0.0720
info: 'No problems detected (SeDuMi-1.3)'
problem: 0
dimacs: [1.0438e-012 0 0 0 -1.0738e-012 2.8065e-012]
P_feas =
7.9115 1.1877
1.1877 2.4300
ans =
1 1
ans =
1 1