On Computing the H_infinity-norm of a Transfer Matrix

S. Boyd, V. Balakrishnan, and P. Kabamba

Proceedings of the American Control Conference, 3:2412-2417, June 1988.

We present a simple bisection algorithm to compute the H_infinity norm of a transfer matrix. The bisection method is far more efficient than algorithms which involve a search over frequencies, and moreover can compute the H-infinity norm with guaranteed accuracy.