<p>The problem of finite-time stability (FTS) in uncertain large-scale continuous-time networked systems is systematically studied in this work. The system consists of several subsystems with heterogeneous dynamic characteristics and is interconnected through a fixed structural framework with arbitrary topology. Focusing on linear time-invariant (LTI) systems with norm-bounded uncertainties, this study fully exploits the block structure of the system parameter matrices and the sparsity of the interconnection matrix to derive sufficient conditions for achieving FTS. Furthermore, a set of stability criteria depending solely on the parameters of the individual subsystem is proposed. The proposed method avoids high-dimensional matrix inversion, significantly reducing computational complexity. Simulation results further verify its computational efficiency and practical applicability.</p>

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Finite-time stability analysis of uncertain large-scale continuous-time networked systems

  • Shuaibo Yan,
  • Huabo Liu

摘要

The problem of finite-time stability (FTS) in uncertain large-scale continuous-time networked systems is systematically studied in this work. The system consists of several subsystems with heterogeneous dynamic characteristics and is interconnected through a fixed structural framework with arbitrary topology. Focusing on linear time-invariant (LTI) systems with norm-bounded uncertainties, this study fully exploits the block structure of the system parameter matrices and the sparsity of the interconnection matrix to derive sufficient conditions for achieving FTS. Furthermore, a set of stability criteria depending solely on the parameters of the individual subsystem is proposed. The proposed method avoids high-dimensional matrix inversion, significantly reducing computational complexity. Simulation results further verify its computational efficiency and practical applicability.