Boundary stabilization of a hybrid system

被引：0

作者：

Liu, KS ^{[1
]}

Liu, ZY ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math Appl, Hangzhou 310027, Peoples R China

来源：

CONTROL OF DISTRIBUTED PARAMETER AND STOCHASTIC SYSTEMS | 1999年 / 13卷

关键词：

boundary stabilization; beam; hybrid system; backward well-posedness; spectral completeness; multiplier technique;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the boundary stabilization of a degenerate hybrid system composed of an Euler-Bernoulli beam with a tip mass. It is proved that the system is exponentially stabilizable when the usual velocity feedback controls are applied at the end with the tip mass. We also establish time reversibility and spectral completeness of the closed-loop system.

引用

页码：95 / 101

页数：7

共 50 条

[41] BOUNDARY STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM [J].

Si Shoukui .

AppliedMathematics:AJournalofChineseUniversities, 1999, (04) :467-474

[42] Boundary stabilization of hyperbolic hemivariational inequalities [J].

Park, Sun Hye ;

Park, Jong Yeoul ;

Jeong, Jin Mun .

ACTA APPLICANDAE MATHEMATICAE, 2008, 104 (02) :139-150

[43] Stabilization of serially connected hybrid PDE-ODE system with unknown external disturbances [J].

Xie, Ya-Ru ;

Han, Zhong-Jie ;

Xu, Gen-Qi .

APPLICABLE ANALYSIS, 2019, 98 (04) :718-734

[44] Eutrophic-water treatment using a hybrid system of stabilization ponds and constructed wetlands [J].

Wu, Haodong ;

Huang, Ping ;

Wang, Junsan .

ROMANIAN BIOTECHNOLOGICAL LETTERS, 2012, 17 (01) :6869-6875

[45] Boundary stabilization for wave equations with damping only on the nonlinear Wentzell boundary [J].

Li, Chan ;

Liang, Jin ;

Xiao, Ti-Jun .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 164 :155-175

[46] Boundary stabilization of systems of high order PDEs arising from flexible robotics [J].

Cristofaro, A. ;

Ferrante, F. .

IFAC PAPERSONLINE, 2020, 53 (02) :7807-7812

[47] Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping [J].

Graber, P. Jameson .

JOURNAL OF EVOLUTION EQUATIONS, 2012, 12 (01) :141-164

[48] Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping [J].

P. Jameson Graber .

Journal of Evolution Equations, 2012, 12 :141-164

[49] Boundary Stabilization of Torsional Vibrations of a Solar Panel [J].

Nandi, Prasanta K. ;

Gorain, Ganesh C. ;

Kar, Samarjit .

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2012, 7 (01) :455-463

[50] Boundary feedback stabilization of Naghdi's model [J].

Chai, SG .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (01) :169-184

← 1 2 3 4 5 →