Work

Finite-time stability and stabilization for linear time-varying descriptors systems

Year: 2025

Type: article

Abstract: In this paper, two necessary and sufficient conditions are provided to assess the finite-time stability of descriptor systems. The first is based on the solution of a differential Lyapunov equation, while the second requires the solution of a feasibility problem with differential linear matrix constraints. While the first condition is numerically more efficient, the second is further exploited to derive a sufficient condition for finite-time stabilization via state feedback that requires only the dynamic part of the descriptor state. The effectiveness of the proposed approach is discussed by means of a numerical example.

Source: IFAC-PapersOnLine

DOI: 10.1016/j.ifacol.2025.09.525

Authors: Francesco Amato, Gianmaria De Tommasi, Sara Dubbioso, Federico Fiorenza, Dario Giuseppe Lui

Institution: University of Naples Federico II

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414706253

FWCI: 0.784

Cites: 19

Cited by: 2

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