Efficient and symbolic computation of the H2 norm via the polynomial Diophantine equation

Abstract

The H2 norm is a widely used metric for characterising and optimising system performance for a wide variety of applications. This article presents an alternative method for calculating the H2 norm which is more computationally efficient than existing methods, and delivers greater numerical precision, while also allowing for the H2 norm to be calculated numerically or symbolically. A stability test of the system can be performed at no added computational cost.