Work

Stabilization for a degenerate wave equation with time‐varying delay in the boundary control input

Year: 2025

Type: article

Abstract: A degenerate wave equation with time‐varying delay in the boundary control input is considered. The well‐posedness of the system is established by applying the semigroup theory. The boundary stabilization of the degenerate wave equation is concerned and the uniform exponential decay of solutions is obtained by combining the energy estimates with suitable Lyapunov functionals and an integral inequality under suitable conditions.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.70089

Author: Menglan Liao

Institution: Hohai University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Government of Jiangsu Province, Natural Science Foundation of Jiangsu Province, Fundamental Research Funds for the Central Universities

Awards: G3936358944, G4752914520, G5770240305