Strong Stability Analysis of Linear Delay-Difference Equations With Multiple Time Delays

This article is concerned with the strong stability problem of linear continuous-time delay-difference equations multiple time delays. A family matrix inequalities (LMIs), indexed by a positive integer k, derived to assess stability. time-domain interpretation proposed LMI-based condition given in terms quadratic integral Lyapunov functional, which allows us reveal relations an existing result. The LMI can easily be reformulated form where dependence on coefficients equation affine, instrumental establishing sufficient for robust norm-bounded uncertainty. necessary and also given, structured singular value characterization. Examples are illustrate effectiveness presented results.