Reachable set estimation of singular Markovian jump systems via state decomposition method

This paper focuses on estimating the reachable set concerning the singular Markovian jump systems (SMJSs). We employ the state decomposition method to solve the reachable set estimation (RSE) of SMJSs without delay. The objective is to get a set of ellipsoids under different modes of SMJSs to confine all states originating from the origin. By employing decomposition method, the SMJS is decomposed into a differential system and an algebraic system. Then the sufficient condition for RSE of SMJS without delay is proposed. Finally, a numerical example is given to demonstrate the validity of the adopted methods.