|Positive Observer Design for Positive Markovian Jump Systems with Mode–dependent Time–varying Delays and Incomplete Transition Rates
JiyangWang, Wenhai Qi*, Xianwen Gao, and Yonggui Kao
International Journal of Control, Automation, and Systems, vol. 15, no. 2, pp.640-646, 2017
Abstract : "The paper is concerned with positive observer design for positive Markovian jump systems with incomplete
transition rates and time delays that are mode-dependent and time-varying. Firstly, by applying an appropriate
co-positive type Lyapunov-Krasovskii function and free-connection weighting vectors, sufficient conditions are
proposed to ensure stochastic stability of the error positive system and existence of the positive observer. All the
proposed conditions are derived in linear programming. Finally, an example is given to demonstrate the validity of
the main results."
Incomplete transition rates, linear programming, positive Markovian jump systems, stochastic stability.