H∞ analysis for a class of Markov jump nonlinear systems

The problem of H-inf analysis for Markov jump nonlinear systems with Lipchitz type nonlinearity is considered. A sufficient condition for disturbance attenuation in terms of linear matrix inequalities is developed which ensures robust stochastic mean square stability. The design process assumes a prescribed level of disturbance attenuation and uses a mode based Lyapunov function. A numerical example is also provided to show the effectiveness of our approach.