Delay-independent stability criteria for discrete uncertain large-scale systems with time delays

Based on the Lyapunov stability theorem associated with norm inequality techniques, the stability testing problem for discrete large-scale uncertain systems with time delays in the interconnections is investigated. Three classes of uncertainties are treated: nonlinear, linear unstructured and linear highly structured uncertainties. Several new delay-independent sufficient conditions, expressed by inequalities, are presented to preserve the asymptotic stability of the discrete large-scale uncertain time-delay systems. Although the Lyapunov stability theorem is utilized, it is not necessary to solve any Lyapunov equation. Two demonstrative examples are given to show the effectiveness of these quantitative results.