An improved sufficient condition for robust ℓ∞-stability of systems with repeated perturbations

This paper presents a new sufficient condition for robust ℓ_∞-stability of discrete-time systems with structured, repeated, linear time-varying, and induced ℓ_∞-norm bounded perturbations. The novel sufficient stability condition, which can be interpreted in terms of an augmented scaled small gain theorem, is shown to be less conservative than previous techniques.