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<p>This paper explores the locally exponential stabilization problem for uncertain nonlinear time-delay system via the memory-based saturated controller. By utilizing the distributed-delay polytopic method, augmented Lyapunov–Krasovskii functional and improved integral inequalities, the delay-dependent criteria based on linear matrix inequalities is introduced to guarantee the locally exponential stability of nonlinear time-delay systems subject to actuator saturation. In addition, optimization tasks with reduced conservatism are formulated to enhance the admissible initial condition set. Subsequently, an illustrative instance is employed to demonstrate the validity and practicality of the suggested method.</p>

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Memory-based controller design for uncertain nonlinear time-delay system with input saturations

  • 期刊论文

  • 发表日期：

    2025年1月8日

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  • Chao Ge,
  • Shuiqing Ye,
  • Yajuan Liu,
  • Ping Qu

摘要

This paper explores the locally exponential stabilization problem for uncertain nonlinear time-delay system via the memory-based saturated controller. By utilizing the distributed-delay polytopic method, augmented Lyapunov–Krasovskii functional and improved integral inequalities, the delay-dependent criteria based on linear matrix inequalities is introduced to guarantee the locally exponential stability of nonlinear time-delay systems subject to actuator saturation. In addition, optimization tasks with reduced conservatism are formulated to enhance the admissible initial condition set. Subsequently, an illustrative instance is employed to demonstrate the validity and practicality of the suggested method.