Parameter identifiability of differential delay equations (Q2755392)

The author considers identifiability of parameters contained in linear, constant coefficients, differential delay equations, that is, he studies whether there exists a unique model in a given class that fits the experimental data under certain conditions. He gives necessary and sufficient conditions which guarantee that the inverse problem for determining the coefficients, the initial data, and the time delays of a linear differential delay system of equations has a unique solution based on perfect noise-free measured data, using operator semigroups theory and spectral theory.