Passivity-based boundary control for Korteweg-de Vries-Burgers equations

被引：1

作者：

Liang, Shuang ^{[1
]}

Wu, Kai-Ning ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 538卷 / 01期

关键词：

Passivity-based boundary control; Boundary input-output; Robust passivity; DIFFUSION NEURAL-NETWORKS; NONLINEAR-SYSTEMS; SYNCHRONIZATION; STABILIZATION; PASSIFICATION; EQUIVALENCE; INPUT;

D O I：

10.1016/j.jmaa.2024.128432

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article considers the passivity-based boundary control for Korteweg-de VriesBurgers (KdVB) equations. Both the input strict passivity (ISP) and the output strict passivity (OSP) are studied. By the Lyapunov functional method and Wirtinger's inequality, sufficient criteria are derived to establish ISP and OSP for KdVB equations with boundary disturbances. Moreover, when parameter uncertainties arise in KdVB equations, the robust ISP and OSP are also investigated and sufficient criteria are proposed to achieve the robust ISP and OSP. Simulation examples are also given to verify the effectiveness of theoretical results. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：14

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