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This paper focuses on stability analysis for 2-D discrete-time switched affine systems (SASs). Utilizing the Lyapunov-Metzler inequalities technique, sufficient stability conditions together with a state-dependent switching function are designed, which will guarantee the desired equilibrium points’ practical stability. The whole reachable equilibrium points are provided. Two different models representing 2-D discrete-time SASs are discussed including the Fornasini-Marchesini local state-space type and the Roesser type. Furthermore, the transformation relationship between the two models is presented. At last, a numerical example is provided to demonstrate our methods.

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Stability Analysis and Control Design for 2-D Switched Affine Systems

  • 会议论文

  • 发表日期：

    2026年

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  • Yuanyuan Liu,
  • Geng Chen

摘要

This paper focuses on stability analysis for 2-D discrete-time switched affine systems (SASs). Utilizing the Lyapunov-Metzler inequalities technique, sufficient stability conditions together with a state-dependent switching function are designed, which will guarantee the desired equilibrium points’ practical stability. The whole reachable equilibrium points are provided. Two different models representing 2-D discrete-time SASs are discussed including the Fornasini-Marchesini local state-space type and the Roesser type. Furthermore, the transformation relationship between the two models is presented. At last, a numerical example is provided to demonstrate our methods.