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Passivity and feedback design of nonlinear Markovian jump systems

This paper is an attempt to combine the passivity theory with geometric control theory for nonlinear Markovian jump systems. The key-point concretes on taking the appropriate coordinate changes following with the Markovian switchings. Based on this concept, we investigate the passivity, feedback equivalence and global stabilization problems, which implies that feedback equivalence to a passive Markovian jump system requires a strongly minimum-phase condition.