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1 | function test_sos_sjoberg |
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2 | |
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3 | % Regression for a problem in getexponentbase |
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4 | % that caused issues in matrix sos |
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5 | |
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6 | sdpvar x1 x2 |
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7 | x = [x1 x2]'; |
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8 | |
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9 | f = [x2; |
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10 | -0.5*x1-0.5*x1^3-0.5*x2]; |
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11 | |
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12 | g = [0; 0.5]; |
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13 | h = x1; |
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14 | |
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15 | gam = 1.52; |
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16 | |
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17 | % V = sum (c_i * x^something) |
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18 | z = monolist(x,4); |
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19 | c = sdpvar(length(z),1); |
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20 | V = c'*z; |
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21 | |
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22 | Vx = jacobian(V,x) |
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23 | |
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24 | HJI = [Vx*f + f'*Vx.' + h'*h, 1/gam*Vx*g; |
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25 | 1/gam*g'*Vx.' -1] |
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26 | |
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27 | [sol,m,B,residuals] = solvesos( set(sos(-HJI)),[],[],c); |
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28 | residual = norm(getbase(replace(-HJI-m{1}'*B{1}*m{1},c,double(c))),'inf') |
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29 | |
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30 | mbg_asserttrue(residual < 1e-8); |
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