Positive l1-gain asynchronous filter design of positive Markov jump systems

Research is made in the positive l(1)-gain asynchronous filter design problem of positive Markov jump systems (PMJSs) in this paper. To describe the nonsynchronization between system modes and filter modes, a hidden Markov model is introduced. For the positive asynchronous filtering error system, the l(1)-gain performance is analyzed and a sufficient and necessary condition is given to ensure the stochastically internally stability by means of the augmentation system approach. Based on the obtained results, two equivalent conditions are derived and the corresponding positive l(1)-gain asynchronous filter is also designed. Finally, two numerical examples are provided to verify the effectiveness of our results. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.