Well-posedness and regularity of Euler-Bernoulli equation with variable coefficient and Dirichlet boundary control and collocated observation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3028 ◽

2013 ◽

Vol 37 (18) ◽

pp. 2889-2905 ◽

Author(s):

Ruili Wen ◽

Shugen Chai ◽

Bao-Zhu Guo

Keyword(s):

Boundary Control ◽

Variable Coefficient ◽

Dirichlet Boundary ◽

Well Posedness ◽

Bernoulli Equation ◽

Dirichlet Boundary Control

Download Full-text

Well-Posedness of Systems of Linear Elasticity with Dirichlet Boundary Control and Observation

SIAM Journal on Control and Optimization ◽

10.1137/070705593 ◽

2009 ◽

Vol 48 (4) ◽

pp. 2139-2167 ◽

Author(s):

Bao-Zhu Guo ◽

Zhi-Xiong Zhang

Keyword(s):

Boundary Control ◽

Linear Elasticity ◽

Dirichlet Boundary ◽

Well Posedness ◽

Dirichlet Boundary Control

Download Full-text

Dirichlet Boundary Control of Hyperbolic Equations in the Presence of State Constraints

Applied Mathematics & Optimization ◽

10.1007/s00245-003-0783-5 ◽

2004 ◽

Vol 49 (2) ◽

pp. 145-157 ◽

Author(s):

Boris S. Mordukhovich ◽

Jean-Pierre Raymond

Keyword(s):

Boundary Control ◽

State Constraints ◽

Dirichlet Boundary ◽

Hyperbolic Equations ◽

Dirichlet Boundary Control

Download Full-text

An LQ Problem for the Heat Equation on the Halfline with Dirichlet Boundary Control and Noise

SIAM Journal on Control and Optimization ◽

10.1137/070711529 ◽

2009 ◽

Vol 48 (3) ◽

pp. 1473-1488 ◽

Author(s):

G. Fabbri ◽

B. Goldys

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Dirichlet Boundary ◽

Dirichlet Boundary Control ◽

Download Full-text

Dirichlet boundary control problems for parabolic equations with quadratic cost: Analyticity and riccati's feedback synthesis

System Modeling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006156 ◽

2005 ◽

pp. 362-365

Author(s):

Irena Lasiecka ◽

Roberto Triggiani

Keyword(s):

Boundary Control ◽

Parabolic Equations ◽

Dirichlet Boundary ◽

Control Problems ◽

Dirichlet Boundary Control ◽

Quadratic Cost ◽

Boundary Control Problems ◽

Feedback Synthesis

Download Full-text

Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis

SIAM Journal on Control and Optimization ◽

10.1137/0321003 ◽

1983 ◽

Vol 21 (1) ◽

pp. 41-67 ◽

Author(s):

I. Lasiecka ◽

R. Triggiani

Keyword(s):

Control Problem ◽

Boundary Control ◽

Parabolic Equations ◽

Dirichlet Boundary ◽

Dirichlet Boundary Control ◽

Quadratic Cost ◽

Boundary Control Problem ◽

Feedback Synthesis

Download Full-text

Energy corrected FEM for optimal Dirichlet boundary control problems

Numerische Mathematik ◽

10.1007/s00211-018-0952-8 ◽

2018 ◽

Vol 139 (4) ◽

pp. 913-938 ◽

Author(s):

Lorenz John ◽

Piotr Swierczynski ◽

Barbara Wohlmuth

Keyword(s):

Boundary Control ◽

Dirichlet Boundary ◽

Control Problems ◽

Dirichlet Boundary Control ◽

Boundary Control Problems

Download Full-text

Two fast finite difference schemes for elliptic Dirichlet boundary control problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-019-01261-2 ◽

2019 ◽

Vol 61 (1-2) ◽

pp. 481-503

Author(s):

Jun Liu

Keyword(s):

Finite Difference ◽

Boundary Control ◽

Dirichlet Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Control Problems ◽

Dirichlet Boundary Control ◽

Boundary Control Problems

Download Full-text

Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations

SIAM Journal on Control and Optimization ◽

10.1137/050626600 ◽

2006 ◽

Vol 45 (5) ◽

pp. 1586-1611 ◽

Author(s):

Eduardo Casas ◽

Jean‐Pierre Raymond

Keyword(s):

Error Estimates ◽

Boundary Control ◽

Elliptic Equations ◽

Numerical Approximation ◽

Dirichlet Boundary ◽

Semilinear Elliptic Equations ◽

Dirichlet Boundary Control ◽

Semilinear Elliptic

Download Full-text

Exponential decay rate for a wave equation with Dirichlet boundary control

Applied Mathematics Letters ◽

10.1016/j.aml.2006.06.020 ◽

2007 ◽

Vol 20 (8) ◽

pp. 861-865 ◽

Author(s):

Chuanxian Deng ◽

Yan Liu ◽

Weisheng Jiang ◽

Falun Huang

Keyword(s):

Wave Equation ◽

Boundary Control ◽

Exponential Decay ◽

Dirichlet Boundary ◽

Dirichlet Boundary Control ◽

Exponential Decay Rate

Download Full-text

Boundary element methods for Dirichlet boundary control problems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1356 ◽

2010 ◽

Vol 33 (18) ◽

pp. 2187-2205 ◽

Author(s):

Günther Of ◽

Thanh Xuan Phan ◽

Olaf Steinbach

Keyword(s):

Boundary Element ◽

Boundary Control ◽

Dirichlet Boundary ◽

Boundary Element Methods ◽

Control Problems ◽

Dirichlet Boundary Control ◽

Boundary Control Problems

Download Full-text