Work

Boundary feedback stabilization of quasilinear hyperbolic systems with zero characteristic speed

Year: 2025

Type: article

Abstract: In this paper, we investigate the boundary feedback stabilization of a quasilinear hyperbolic system with zero characteristic speed and a partially dissipative structure. This structure enables us to construct a Lyapunov function that guarantees exponential stability for the H2 solution. We also introduce another set of stability conditions by restricting terms corresponding to zero eigenvalues to the dissipative part, which still ensures exponential stability. As an application, we achieve feedback stabilization for the modified model of neurofilament transport in axons.

Source: Mathematical Modelling and Analysis

DOI: 10.3846/mma.2025.20890

Authors: Zhiqiang Wang, Wancong Yao

Institutions: Fudan University, Hong Kong University of Science and Technology

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: Science and Technology Commission of Shanghai Municipality

Award: 供应链管理的数学理论与算法研究