Distributed asynchronous passive filtering for nonlinear Markov jump systems

The distributed asynchronous passive filtering problem is studied for nonlinear Markov jump systems subject to packet loss. In the distributed case, the asynchronous phenomenon between the filters and system, which is more complicated than the common ones, is handled by introducing a mutually independent Markov chain. A sufficient condition for passive performance is proposed for the filtering error system via a mode-dependent Lyapunov functional, based on which the filter design scheme is also outlined by explicitly characterizing the filter parameters in terms of matrix inequalities.