Optimizing model transformations in delay-dependent analysis of neutral systems A control-based approach

This paper focuses on some asymptotic stability problems of a class of linear systems described by neutral differential equations involving pointwise or discrete delays. Using appropriate Liapunov-Krasovskii functionals, some sufficient conditions for computing the maximal allowable delay are derived. The novelty of the approach lies on the possibility to treat unitarily delay-independent and delay-dependent stability problems by 'embedding' the corresponding models into a larger class of parametrized model transformations of the initial system. The idea behind such constructions is to interpret the stability as an optimization problem via an appropriate state-feedback design. The derived results allow to recover or to improve previous criteria from control literature