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

•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.•To develop the criteria ensuring the stochastically exponential stability and L1-gain, multiple time-varying copositive Lyapunov functions are constructed by using the mode-dependent time interval segmentation technique.•Moreover, two special cases are also under investigation via our proposed method and two new results are provided.•Finally, a numerical example and a practical example are provided to illustrate the obtained results.