Stability Robustness Measures of Linear Discrete-Time Systems with Structured Perturbations

This paper consider the robust stability of linear discrete-time systems subjected toreal structured perturbations. The "zero exclusion principle", which is based on the properties of theKronecker product and the bialternate product, is employed to derive the new robust stability boundsfor time-invariant perturbations. A numerical examples is Presented to demonstrate the merit of theproposed method. The example shows that the new bounds are easy to compute numerically and canhave an arbitrary degree of improvement over the Previous ones reported by the Lyapunov stabilitymethod.