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<p>This study focuses on the stabilization of two-dimensional (2-D) switched systems utilizing the Fornasini-Marchesini local state-space model. Without any controller, by designing a set of switching signals subject to weighted average dwell time approach, the 2-D switched systems with all subsystems unstable could be stabilized. The weighted average dwell time approach used in this paper is more effective than mode-dependent dwell time and average dwell time used in other literature. Furthermore, the introduction of a quasi-time-dependent Lyapunov functional ensures the asymptotically stability of the 2-D switched system. This paper addresses the stabilization challenges of 2-D switched systems by employing Fornasini-Marchesini local state-space model, offering a comprehensive approach to a field that is critical to both academic and industrial domains. The efficacy of these methodologies are demonstrated through an illustrative example.</p>

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Stabilization of two dimensional switched systems with unstable modes based on the weighted average dwell time strategy

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月10日

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  • Qiang Yu,
  • Wangxian Su,
  • Yanping Guo,
  • Ning Li

摘要

This study focuses on the stabilization of two-dimensional (2-D) switched systems utilizing the Fornasini-Marchesini local state-space model. Without any controller, by designing a set of switching signals subject to weighted average dwell time approach, the 2-D switched systems with all subsystems unstable could be stabilized. The weighted average dwell time approach used in this paper is more effective than mode-dependent dwell time and average dwell time used in other literature. Furthermore, the introduction of a quasi-time-dependent Lyapunov functional ensures the asymptotically stability of the 2-D switched system. This paper addresses the stabilization challenges of 2-D switched systems by employing Fornasini-Marchesini local state-space model, offering a comprehensive approach to a field that is critical to both academic and industrial domains. The efficacy of these methodologies are demonstrated through an illustrative example.