Model transformation class for delay-dependent stability analysis

International audience; This paper focuses on some asymptotic stability problems of a class of linear difference-differential equations involving a single delay. Sufficient conditions (expressed in terms of LMIs) for computing the maximal allowable delay are proposed. The novelty of the approach lies on the use of some parametrized model transformations of the initial system. The `optimal' parameters are derived by using a state-feedback construction. The obtained re-suits recover or improve previous delay-independent or delay-dependent criteria from control literature.