On exponential stability of neutral delay Markovian jump systems with nonlinear perturbations and partially unknown transition rates

The exponential stability for neutral delay Markovian jump systems with nonlinear perturbations and partially unknown transition rates is investigated in this paper. With creative Lyapunov functional and novel matrix inequalities analysis, delay-range-dependent and rate-dependent exponential stability conditions are presented by reciprocally convex lemma and free weighting matrices. Numerical examples are given to demonstrate the effectiveness of the proposed methods.