Stability and ℓ1-gain analysis for positive 2-D Markov jump systems. Issue 11 (18th August 2019) - Chen, Yong
Abstract : This paper investigates the problems of stability and ℓ 1 -gain analysis for positive 2-dimensional (2-D) Markov jump systems. The mathematical model of 2-D Markov jump systems is established based on the Roesser model. Necessary and sufficient condition for stability and sufficient condition for ℓ 1 -gain computation are derived. Furthermore, the stability and ℓ 1 -gain conditions are extended to Markov jump systems with partially known transition probabilities. The effectiveness of the obtained theoretical findings is verified through two numerical examples.