Passivity-based boundary control for stochastic 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：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 10期
关键词：
boundary control; passivity; robust passivity; Stochastic Korteweg-de Vries-Burgers equations; COMPLEX DYNAMICAL NETWORKS; NONLINEAR-SYSTEMS; STABILIZATION; INPUT; SYNCHRONIZATION;
D O I：
10.1002/mma.10005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The passivity-based boundary control is considered for stochastic Korteweg-de Vries-Burgers (SKdVB) equations. Both the stochastic input strictly passive (SISP) and stochastic output strictly passive (SOSP) are studied. By introducing Lyapunov functionals and Wirtinger's inequality, sufficient criteria are derived to establish SISP and SOSP for SKdVB equations with boundary disturbances. Moreover, when parameter uncertainties arise in SKdVB equations, the robust stochastic passivity is also investigated and sufficient criteria are presented to achieve the robust SISP and SOSP. Two numerical simulations are employed to show the effectiveness and advantages of our theoretical results.
引用
收藏
页码：8089 / 8104
页数：16
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