PROBABILITY OF STABILITY - NEW MEASURES OF STABILITY ROBUSTNESS FOR LINEAR DYNAMICAL-SYSTEMS

The problem of quantifying stability robustness due to parameter perturbations is addressed. A judiciously weighted eigenvalue sensitivity index is proposed for use in stability robustness optimization problems. A new stochastic measure of stability robustness suitable for structured perturbations is proposed. As a special case of this new measure, a set of weights reflecting stability margins of individual modes and probability distributions of uncertain parameters is obtained. In addition, matrix theory is used to establish some connections between the eigenvalue sensitivity matrix, eigenvalue perturbations, and associated cost functions of the system sensitivity.

PROBABILITY OF STABILITY - NEW MEASURES OF STABILITY ROBUSTNESS FOR LINEAR DYNAMICAL-SYSTEMS Academic Article