Stochastic observer design for Markovian jump one-sided Lipschitz systems with partly unknown transition rates

This paper deals with the stochastic observer design problem for the Markovian jump one-sided Lipschitz system with partly unknown transition rates. Firstly, the definitions as well as properties of one-sided Lipschitz function are introduced. Then, the observer is constructed for the system by Luenberger observer theory and the existence condition of the observer is derived by linear matrix inequality technique. Finally, two numerical examples are simulated to verify the effectiveness of the proposed method in this paper.