Nonlinear Adaptive Boundary Control of the Modified Generalized Korteweg-de Vries-Burgers Equation

被引：8

作者：

Chentouf, B. ^{[1
]}

Smaoui, N. ^{[1
]}

Alalabi, A. ^{[1
]}

机构：

[1] Kuwait Univ, Dept Math, POB 5969, Kuwait 13060, Kuwait

来源：

COMPLEXITY | 2020年 / 2020卷

关键词：

WELL-POSEDNESS; GLOBAL STABILIZATION; DYNAMICS; STABILITY; FEEDBACK; DECAY;

D O I：

10.1155/2020/4574257

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the nonlinear adaptive boundary control problem of the modified generalized Korteweg-de Vries-Burgers equation (MGKdVB) when the spatial domain is 0,1. Four different nonlinear adaptive control laws are designed for the MGKdVB equation without assuming the nullity of the physical parameters nu, mu, gamma 1, and gamma 2 and depending whether these parameters are known or unknown. Then, using Lyapunov theory, the L2-global exponential stability of the solution is proven in each case. Finally, numerical simulations are presented to illustrate the developed control schemes.

引用

页数：18

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