alpha-Dissipativity filtering for singular Markovian jump systems with distributed delays

作者：Liu, Guobao; Qi, Zhidong; Xu, Shengyuan^*; Li, Ze; Zhang, Zhengqiang

来源：Signal Processing, 2017, 134: 149-157.

DOI：10.1016/j.sigpro.2016.12.005

• Singular Markovian jump systems
• Distributed delays
• Mode-dependent filters
• Mode-independent filters
• alpha-dissipativity
• Linear matrix inequalities

This paper deals with the problem of alpha-dissipativity filtering for singular Markovian jump systems (SMJSs) with distributed delays. Sufficient delay-dependent conditions are developed for the stochastic admissibility and the dissipativity analysis of SMJSs with distributed delays by using an integral partitioning technique. Then, based on these conditions, both mode-dependent and mode-independent filters are designed such that the filtering error SMJSs with distributed delays are stochastically stable and strictly (Q, 8, R) -alpha-dissipative. The criteria are established in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.

• 出版日期2017-5
• 单位曲阜师范大学; 南京理工大学; 苏州科技大学