Ebook: Stabilization of Flexible Structures: Third Working Conference Montpellier, France, January 1989

Contents: Recent Work on the Scole Model.- Mathematical Study of Large Space Structures.- Symbolic Formulation of Dynamic Equation for Interconnected Flexibles Bodies: The GEMMES Software.- Adaptive Optics, Shape Control of an Adaptive Mirror.- Energy Decay Estimates for a Beam with Non Linear Boundary Feedback.- Uniform Stabilization of the Wave Equation with Dirichlet Feedback Control without Geometrical Conditions. - Actuators and Controllability of Distributed Systems.- Linear Quadratic Control Without Stabilizability. - Riccati Equation in Non Cylindrical Domains.- Boundary Control Problems for Non Autonomous Parabolic Systems.- Existence and Optimal Control for the Wave Equation in Moving Domain.- Galerkin Approximation for Wave Equation in Moving Domain.- Further Results on Exact Controllability of the Euler-Bernoulli Equation with Controls on the Dirichlet and Neumann Boundary Conditions.- Some Properties of the Value Function of a Non Linear Control Problem in Infinite Dimension.- Identification of Coefficients with Bounded Variation in the Wave Equation.- Shape Hessian by the Velocity Method: a Lagrangian Approach.- Differential Stability of Pertubed Optimization with Application to Parameter Estimation.- A Numerical Method for Drag Minimization via the Suction and Injection of Mass Through the Boundary.- Using the Physical Properties of Systems for Control.

---

Contents: Recent Work on the Scole Model.- Mathematical Study of Large Space Structures.- Symbolic Formulation of Dynamic Equation for Interconnected Flexibles Bodies: The GEMMES Software.- Adaptive Optics, Shape Control of an Adaptive Mirror.- Energy Decay Estimates for a Beam with Non Linear Boundary Feedback.- Uniform Stabilization of the Wave Equation with Dirichlet Feedback Control without Geometrical Conditions. - Actuators and Controllability of Distributed Systems.- Linear Quadratic Control Without Stabilizability. - Riccati Equation in Non Cylindrical Domains.- Boundary Control Problems for Non Autonomous Parabolic Systems.- Existence and Optimal Control for the Wave Equation in Moving Domain.- Galerkin Approximation for Wave Equation in Moving Domain.- Further Results on Exact Controllability of the Euler-Bernoulli Equation with Controls on the Dirichlet and Neumann Boundary Conditions.- Some Properties of the Value Function of a Non Linear Control Problem in Infinite Dimension.- Identification of Coefficients with Bounded Variation in the Wave Equation.- Shape Hessian by the Velocity Method: a Lagrangian Approach.- Differential Stability of Pertubed Optimization with Application to Parameter Estimation.- A Numerical Method for Drag Minimization via the Suction and Injection of Mass Through the Boundary.- Using the Physical Properties of Systems for Control.
Content:
Front Matter....Pages -
Recent work on the scole model....Pages 1-5
Mathematical study of large space structures....Pages 6-16
Symbolic formulation of dynamic equations for interconnected flexible bodies: The GEMMES software....Pages 17-27
Adaptive optics — Shape control of an adaptive mirror....Pages 28-45
Energy decay estimates for a beam with nonlinear boundary feedback....Pages 46-61
Uniform stabilization of the wave equation with dirichlet-feedback control without geometrical conditions....Pages 62-108
Actuators and controllability of distributed systems....Pages 109-125
Linear quadratic control problem without stabilizability....Pages 126-147
Riccati equations in noncylindrical domains....Pages 148-155
Boundary control problems for non-autonomous parabolic systems....Pages 156-166
Existence and optimal control for wave equation in moving domain....Pages 167-190
Galerkine approximation for wave equation in moving domain....Pages 191-225
Further results on exact controllability of the Euler-Bernoulli equation with controls on the dirichlet and neumann boundary conditions....Pages 226-234
Some properties of the value function of a nonlinear control problem in infinite dimensions....Pages 235-247
Identification of coefficients with bounded variation in the wave equation....Pages 248-254
Shape hessian by the velocity method: A Lagrangian approach....Pages 255-279
Shape sensitivity analysis of hyperbolic problems....Pages 280-297
Differential stability of perturbed optimization with applications to parameter estimation....Pages 298-311
A numerical method for drag minimization via the suction and injection of mass through the boundary....Pages 312-321
Using the physical properties of systems for control: An illustration....Pages 322-327

---

Contents: Recent Work on the Scole Model.- Mathematical Study of Large Space Structures.- Symbolic Formulation of Dynamic Equation for Interconnected Flexibles Bodies: The GEMMES Software.- Adaptive Optics, Shape Control of an Adaptive Mirror.- Energy Decay Estimates for a Beam with Non Linear Boundary Feedback.- Uniform Stabilization of the Wave Equation with Dirichlet Feedback Control without Geometrical Conditions. - Actuators and Controllability of Distributed Systems.- Linear Quadratic Control Without Stabilizability. - Riccati Equation in Non Cylindrical Domains.- Boundary Control Problems for Non Autonomous Parabolic Systems.- Existence and Optimal Control for the Wave Equation in Moving Domain.- Galerkin Approximation for Wave Equation in Moving Domain.- Further Results on Exact Controllability of the Euler-Bernoulli Equation with Controls on the Dirichlet and Neumann Boundary Conditions.- Some Properties of the Value Function of a Non Linear Control Problem in Infinite Dimension.- Identification of Coefficients with Bounded Variation in the Wave Equation.- Shape Hessian by the Velocity Method: a Lagrangian Approach.- Differential Stability of Pertubed Optimization with Application to Parameter Estimation.- A Numerical Method for Drag Minimization via the Suction and Injection of Mass Through the Boundary.- Using the Physical Properties of Systems for Control.
Content:
Front Matter....Pages -
Recent work on the scole model....Pages 1-5
Mathematical study of large space structures....Pages 6-16
Symbolic formulation of dynamic equations for interconnected flexible bodies: The GEMMES software....Pages 17-27
Adaptive optics — Shape control of an adaptive mirror....Pages 28-45
Energy decay estimates for a beam with nonlinear boundary feedback....Pages 46-61
Uniform stabilization of the wave equation with dirichlet-feedback control without geometrical conditions....Pages 62-108
Actuators and controllability of distributed systems....Pages 109-125
Linear quadratic control problem without stabilizability....Pages 126-147
Riccati equations in noncylindrical domains....Pages 148-155
Boundary control problems for non-autonomous parabolic systems....Pages 156-166
Existence and optimal control for wave equation in moving domain....Pages 167-190
Galerkine approximation for wave equation in moving domain....Pages 191-225
Further results on exact controllability of the Euler-Bernoulli equation with controls on the dirichlet and neumann boundary conditions....Pages 226-234
Some properties of the value function of a nonlinear control problem in infinite dimensions....Pages 235-247
Identification of coefficients with bounded variation in the wave equation....Pages 248-254
Shape hessian by the velocity method: A Lagrangian approach....Pages 255-279
Shape sensitivity analysis of hyperbolic problems....Pages 280-297
Differential stability of perturbed optimization with applications to parameter estimation....Pages 298-311
A numerical method for drag minimization via the suction and injection of mass through the boundary....Pages 312-321
Using the physical properties of systems for control: An illustration....Pages 322-327
....