max_eigs

Returns the maximum of

\[\left|\frac{Im(\lambda_i)}{Re(\lambda_i)}\frac{1}{\lambda_i}\right|\]

for a given array of eigenvalues eigs.

Used as part of the computation of the H infinity norm

References

[1] Bruinsma, N. A., & Steinbuch, M. (1990). A fast algorithm to compute the H∞-norm of a transfer function matrix. Systems and Control Letters, 14(4), 287–293. https://doi.org/10.1016/0167-6911(90)90049-Z

param eigs:

Array of eigenvalues.

type eigs:

np.ndarray

returns:

Maximum value of function.

rtype:

complex