I am trying to solve this system by using a desired eigenvalues to be equated to the det(SI-A) ,so every thing in that matrix is know except Lambda’s , I decoupled the problem by making eta_tilde=0 and then e =0 and I managed to obtain L and it was easier to get L in that way ,but the problem now is to obtain lambda that makes this matrix aysmptoically stable , SINCE it is linear time-varying w.r.t the error so according to lypunov it is better to check the stablity of (A^T+A) to place the eigenvalues to zero, it is complex to solve manually ,so I used the matlab to get the det(SI-A) symbolically ,but how to solve for lambda’s.I am trying to solve this system by using a desired eigenvalues to be equated to the det(SI-A) ,so every thing in that matrix is know except Lambda’s , I decoupled the problem by making eta_tilde=0 and then e =0 and I managed to obtain L and it was easier to get L in that way ,but the problem now is to obtain lambda that makes this matrix aysmptoically stable , SINCE it is linear time-varying w.r.t the error so according to lypunov it is better to check the stablity of (A^T+A) to place the eigenvalues to zero, it is complex to solve manually ,so I used the matlab to get the det(SI-A) symbolically ,but how to solve for lambda’s. I am trying to solve this system by using a desired eigenvalues to be equated to the det(SI-A) ,so every thing in that matrix is know except Lambda’s , I decoupled the problem by making eta_tilde=0 and then e =0 and I managed to obtain L and it was easier to get L in that way ,but the problem now is to obtain lambda that makes this matrix aysmptoically stable , SINCE it is linear time-varying w.r.t the error so according to lypunov it is better to check the stablity of (A^T+A) to place the eigenvalues to zero, it is complex to solve manually ,so I used the matlab to get the det(SI-A) symbolically ,but how to solve for lambda’s. #eigenvalues #stablity #ltv MATLAB Answers — New Questions

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