# The problem status is ill-posed

my parameters are as follows
beta=[1.3526,0.1405];
sigma1 = [9485,187];
eta = [80.2606,12.9895];
phi = [157,2456,25.4488];
a = [0.0.316;0,0];
my code is
cvx_begin
cvx_solver mosek
variables l(1,K) p(1,K)
expressions I(1,K) I_old(1,K) dc(K,K) c1(1,K) c2(1,K)
for k=1:K
I(k) = 0;
I_old(k) = 0;
dc(k,k) =1/(log(2)(p_old(k)+eta(k)+p_mphi(k)));
for j=k+1:K
I(k) = I(k)+ a(k,j).p(j);
I_old(k) = I_old(k)+ a(k,j).p_old(j);
c1(k) = log((p(k)+sigma1(k)+I(k)+p_m
beta(k))
(eta(k)+p_mphi(k)))/log(2);
c2(k) = log((sigma1(k)+I_old(k)+p_m
beta(k))(eta(k)+p_mphi(k)+p_old(k)))/log(2);
dc(k,j) = a(k,j)/(log(2)(sigma1(k)+ I_old(k)+p_mbeta(k)));
end
end
obj = sum(zeta1.pow_abs(l,3)+p.T)+p_mT;%
minimize obj
subject to
for k=1:K
c1(k) - (c2(k)+ dc(k,
(p-p_old)’) >= (L-l(k))/10^5;
l(k)>=0;
l(k)<=L;
p(k)>=0;
end
cvx_end

but, the cvx result is failed
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 1.0e+00 9.5e+03 4.0e+01 0.00e+00 3.937977890e+01 -1.000000000e-08 1.0e+00 0.03
1 1.6e-01 1.5e+03 1.6e+01 -1.00e+00 3.401089412e+01 4.626146472e-02 1.6e-01 0.09
2 2.5e-02 2.4e+02 6.4e+00 -1.00e+00 9.800189297e-01 -1.453999747e-02 2.5e-02 0.11
3 2.3e-03 2.1e+01 1.9e+00 -1.00e+00 -4.078197358e+02 -7.138912494e-01 2.3e-03 0.11
4 5.3e-04 5.0e+00 9.3e-01 -1.00e+00 -1.862107308e+03 -4.426419268e+00 5.3e-04 0.11
5 1.3e-04 1.2e+00 4.4e-01 -9.86e-01 -7.597812859e+03 -5.537082432e+01 1.3e-04 0.11
6 2.5e-05 2.4e-01 1.7e-01 -8.91e-01 -2.812936830e+04 -2.713137350e+02 2.5e-05 0.11
7 4.0e-06 3.8e-02 2.8e-02 -3.93e-01 -2.942013587e+04 -7.285984717e+02 4.0e-06 0.11
8 4.6e-07 4.4e-03 1.1e-03 7.40e-01 -4.542864525e+03 -9.191886108e+02 4.6e-07 0.13
9 4.7e-08 4.5e-04 2.8e-05 1.12e+00 -1.164514789e+03 -9.458344869e+02 4.7e-08 0.13
10 1.5e-09 1.4e-05 1.7e-07 1.07e+00 -9.558061482e+02 -9.484863179e+02 1.5e-09 0.13
11 4.4e-10 4.2e-06 3.9e-08 6.61e-01 -9.533771678e+02 -9.485377730e+02 4.4e-10 0.13
12 2.1e-10 2.0e-06 1.7e-08 1.21e-01 -9.524523543e+02 -9.485543006e+02 2.1e-10 0.13
13 1.1e-10 1.0e-06 7.2e-09 4.28e-01 -9.512977146e+02 -9.485672776e+02 1.1e-10 0.13
14 3.2e-11 3.1e-07 1.1e-09 8.36e-01 -9.492490198e+02 -9.485835280e+02 3.2e-11 0.14
15 3.1e-12 2.9e-08 3.4e-11 9.88e-01 -9.486619887e+02 -9.485876144e+02 3.1e-12 0.14
16 5.4e-13 5.1e-09 2.8e-12 9.33e-01 -9.486036717e+02 -9.485875142e+02 5.4e-13 0.14
17 2.5e-13 2.4e-09 2.4e-12 5.23e-02 -9.486632818e+02 -9.486061563e+02 2.5e-13 0.14
18 4.2e-14 3.9e-10 8.1e-13 -4.61e-01 -9.488941629e+02 -9.486677484e+02 4.2e-14 0.16
19 5.2e-15 5.0e-11 2.5e-13 -8.63e-01 -9.501816197e+02 -9.488940270e+02 5.2e-15 0.16
20 2.3e-15 1.9e-11 1.3e-13 -1.04e+00 -9.539981112e+02 -9.501582074e+02 2.0e-15 0.16
21 4.4e-16 4.2e-12 3.7e-14 -1.00e+00 -9.730059164e+02 -9.557071441e+02 4.4e-16 0.16
22 2.6e-16 2.4e-12 4.6e-14 -9.83e-01 -9.884220671e+02 -9.592154512e+02 2.6e-16 0.16
23 5.0e-17 1.1e-12 3.0e-14 -9.92e-01 -1.150534663e+03 -9.993406460e+02 4.9e-17 0.16
24 4.5e-17 1.0e-12 1.0e-13 -9.93e-01 -1.172323512e+03 -1.004251462e+03 4.4e-17 0.17
25 4.4e-17 6.0e-13 1.2e-13 -9.94e-01 -1.184077933e+03 -1.006936014e+03 4.2e-17 0.17
26 3.8e-17 7.4e-13 1.4e-13 -9.94e-01 -1.210243690e+03 -1.012937214e+03 3.8e-17 0.19
27 3.6e-17 1.3e-12 6.3e-14 -9.94e-01 -1.230621425e+03 -1.017734071e+03 3.5e-17 0.19
28 3.5e-17 1.1e-12 8.4e-14 -9.94e-01 -1.245547595e+03 -1.021168097e+03 3.3e-17 0.19
29 1.6e-17 3.3e-11 4.1e-14 -9.95e-01 -2.545004528e+03 -1.320751512e+03 6.1e-18 0.19
30 1.6e-17 3.3e-11 1.5e-13 -1.01e+00 -2.550004682e+03 -1.321951622e+03 6.1e-18 0.19
31 1.6e-17 3.3e-11 1.5e-13 -1.01e+00 -2.550004682e+03 -1.321951622e+03 6.1e-18 0.19
32 1.6e-17 3.3e-11 8.9e-14 -1.01e+00 -2.555514940e+03 -1.322903505e+03 6.1e-18 0.20
33 1.6e-17 3.3e-11 2.5e-13 -1.00e+00 -2.556673699e+03 -1.323215915e+03 6.1e-18 0.20
34 1.6e-17 3.3e-11 2.9e-13 -1.00e+00 -2.576210429e+03 -1.328192233e+03 6.0e-18 0.20
35 1.6e-17 3.3e-11 4.3e-14 -1.01e+00 -2.581575291e+03 -1.329362000e+03 6.0e-18 0.20
36 1.6e-17 3.3e-11 1.0e-13 -1.01e+00 -2.587099570e+03 -1.330522972e+03 6.0e-18 0.20
37 1.5e-17 3.0e-11 3.0e-13 -1.00e+00 -2.626800495e+03 -1.340854480e+03 5.8e-18 0.20
38 1.5e-17 3.0e-11 3.0e-13 -1.00e+00 -2.626800495e+03 -1.340854480e+03 5.8e-18 0.22
39 1.5e-17 3.0e-11 3.0e-13 -9.59e-01 -2.626800495e+03 -1.340854480e+03 5.8e-18 0.22
Optimizer terminated. Time: 0.25

Interior-point solution summary
Problem status : ILL_POSED
Solution status : DUAL_ILLPOSED_CER
Primal. obj: -1.6684035842e-07 nrm: 2e+01 Viol. con: 4e-12 var: 0e+00 cones: 4e-18
Optimizer summary
Optimizer - time: 0.25
Interior-point - iterations : 40 time: 0.22
Basis identification - time: 0.00
Primal - iterations : 0 time: 0.00
Dual - iterations : 0 time: 0.00
Clean primal - iterations : 0 time: 0.00
Clean dual - iterations : 0 time: 0.00
Simplex - time: 0.00
Primal simplex - iterations : 0 time: 0.00
Dual simplex - iterations : 0 time: 0.00
Mixed integer - relaxations: 0 time: 0.00

Status: Failed
Optimal value (cvx_optval): NaN

How to solve this problem?

The dual problem is not robust feasible.

So assuming the problem has a feasible solution it is close to being unbounded.