STABILITY ROBUSTNESS MEASURES OF LINEAR STATE-SPACE MODELS WITH STRUCTURED PERTURBATIONS

摘要

This paper considers the robust stability of state-space models of linear systems subject to real structured perturbations. The "Zero exclusion principle", which is based on the properties of the Kronecker product and the bialternate product, is employed to derive the new robust stability bounds for time-invariant perturbations. Various examples are presented to demonstrate the merit of the method proposed. The examples show that the new bounds are easy to compute numerically and can expect an arbitrary degree of improvement over the previous ones reported by the Lyapunov stability method and the frequency domain approach.