Observer for neutral delay systems based on spectral decomposition
基于谱分解的中立型时滞系统观测器

The observer design for linear neutral delay systems(NDSs) is investigated based on the spectral decomposition theory of linear operator semigroup. When the norm of the neutral term is less than one, by the spectral theory and projection operator, the infinite dimensional phase space of system solutions is decomposed into the direct sum of finite dimensional unstable generalized eigensubspace and the infinite dimensional stable subspace. The observer equation in integro-differential form of the system is obtained by the infinitesimal generator of linear operator semigroup; and the asymptotic stability of proposed observer error equation is proved. An illustrative example is used to demonstrate the validity of the proposed design approach.