From Asymptotic to Designer-Assigned-Time Control: A Review of Stability Notions, Design Mechanisms, and Controller Architectures
This review analyzes control systems moving from standard asymptotic stability to designer-assigned temporal bounds like Finite-Time or Prescribed-Time control. It establishes a three-layer framework: convergence specification, mathematical design mechanisms, and actual controller architecture. The core finding is that theoretical stability alone is insufficient; implementation details critically affect whether a guarantee holds in practice.