Equivalent Condition for the Existence of the Regular, Impulse-free and Unique Solution and Stochastic Stability Criterion for Rectangular Descriptor Markovian Jump Systems

This paper suggests the equivalent condition for the regular, impulse-freeand stochastic stable unique solution of rectangular descriptor Markovian jump systems (RDMJSs). wo equivalent sets singular derivative matrix are proposed. Based on the proposed lemma, the authors the equivalent condition for regular, impulse-free, stochastic stableand unique solution for RDMJS into linear matrix inequalities (LMIs). The LMI variables in the proposed method can have more freedom than the existing work., can play an important role in controller synthesis. The validity of the proposed method is demonstrated through a numerical example.