Stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems

Abstract

In this paper, the problem of stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems is investigated. The key feature in the paper is that the switching mechanism is described by a general class of hybrid switching laws, which is comprised of Markovian switchings and deterministic switchings. By using the mode-dependent time interval segmentation technique, multiple time-varying copositive Lyapunov functions are constructed. Then, the criteria ensuring the stochastically exponential stability and L1-gain are derived. Finally, a numerical example and a practical one are provided to illustrate the obtained results.