Stability Robustness Measures under Dependent Uncertainty

This paper addresses the aspect of stability robustness analysis for linear continuous time systems with structured parametric uncertainty. New results on upper bounds for robust stability are presented for two types of functional dependence of uncertain parameters in the perturbation matrix, namely i) linear dependence and ii) a special quadratic variation in a scalar parameter. The technique presented generalizes the available results into a unified framework and offers improved bounds over the existing ones by fully exploiting the structure (dependency among parameters) of the uncertainty.