Empirical methods for determining the stability or instability of certain transfer functions

摘要

We present some empirical methods for determining whether a linear autonomous dynamical system which has a known analytic transfer function is stable or unstable. These methods are based on the Poisson Integral representation for H-infinity mappings. Approximations of these integrals are often easily implemented by standard numerical packages, such as MATLAB, and thus present practical procedures for determining whether a given transfer function does or does not belong to H-infinity. (C) 1998 Academic Press. [References: 4]