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<p>This paper addresses the stability and <i>L</i><sub>1</sub>-gain analysis of continuous-time switching positive systems with mode-dependent minimum dwell time. To reduce the conservatism associated with traditional piecewise linear copositive Lyapunov functions, we propose a novel quadratically discretized copositive Lyapunov function using nonlinear interpolation technique. First, we establish improved sufficient conditions for exponential stability of the system, which are less restrictive than existing results. Second, building upon these stability guarantees, we further analyze the <i>L</i><sub>1</sub>-gain performance of the system. Finally, numerical examples illustrate the validity of the proposed approach, demonstrating its superiority over conventional methods.</p>

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Stability and L1-gain analysis of switching positive systems based on quadratically discretized copositive Lyapunov functions

  • 期刊论文

  • 发表日期：

    2026年1月3日

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  • Shuo Wang,
  • Yuangong Sun

摘要

This paper addresses the stability and L1-gain analysis of continuous-time switching positive systems with mode-dependent minimum dwell time. To reduce the conservatism associated with traditional piecewise linear copositive Lyapunov functions, we propose a novel quadratically discretized copositive Lyapunov function using nonlinear interpolation technique. First, we establish improved sufficient conditions for exponential stability of the system, which are less restrictive than existing results. Second, building upon these stability guarantees, we further analyze the L1-gain performance of the system. Finally, numerical examples illustrate the validity of the proposed approach, demonstrating its superiority over conventional methods.