Ebook: Control Problems for Systems Described by Partial Differential Equations and Applications: Proceedings of the IFIP-WG 7.2 Working Conference Gainesville, Florida, February 3–6, 1986

This volume comprises the Proceedings of the IFIP 7/2 Conference on Control Problems for Systems Described by Partial Differential Equations and Applications held at the University of Florida, Gainesville, Florida in February 1987. The papers presented in this volume encompass several main directions of current research in the area including optimal control for variational inequalities, free boundary value problems, shape optimization, pareto-control, stabilization and controllability of hyperbolic equations, control problems for large space flexible structures, identification and estimation of distributed parameter systems, and numerical methods for control problems.

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This volume comprises the Proceedings of the IFIP 7/2 Conference on Control Problems for Systems Described by Partial Differential Equations and Applications held at the University of Florida, Gainesville, Florida in February 1987. The papers presented in this volume encompass several main directions of current research in the area including optimal control for variational inequalities, free boundary value problems, shape optimization, pareto-control, stabilization and controllability of hyperbolic equations, control problems for large space flexible structures, identification and estimation of distributed parameter systems, and numerical methods for control problems.

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This volume comprises the Proceedings of the IFIP 7/2 Conference on Control Problems for Systems Described by Partial Differential Equations and Applications held at the University of Florida, Gainesville, Florida in February 1987. The papers presented in this volume encompass several main directions of current research in the area including optimal control for variational inequalities, free boundary value problems, shape optimization, pareto-control, stabilization and controllability of hyperbolic equations, control problems for large space flexible structures, identification and estimation of distributed parameter systems, and numerical methods for control problems.
Content:
Front Matter....Pages -
On a large space structure control problem....Pages 1-15
The time optimal problem for a class of nonlinear systems....Pages 16-39
Discontinuous solutions in problems of optimization....Pages 40-55
Optimal control for free boundary problems....Pages 56-63
Control methods for the numerical computation of periodic solutions of autonomous differential equations....Pages 64-89
Pareto control of distributed systems. An introduction....Pages 90-104
Abstract stochastic evolution equations and related control and stability problems....Pages 105-120
Viability theorems for control systems with feedbacks....Pages 121-129
On compactness of admissible parameter sets....Pages 130-142
Optimality conditions for optimal control problems of variational inequalities....Pages 143-153
Equivalent control problems and applications....Pages 154-161
Mathematical methods for the control of infectious diseases....Pages 162-174
Solution of the 3-D stationary euler equation by optimal control methods....Pages 175-184
Output least squares stability for estimation of the diffusion coefficient in an elliptic equation....Pages 185-195
Periodic and almost periodic oscillations in nonlinear systems....Pages 196-203
Differentiability of a Min Max and application to optimal control and design problems. Part I....Pages 204-219
Differentiability of a Min Max and application to optimal control and design problems. Part II....Pages 220-229
Optimal control of nonlinear systems: Convergence of suboptimal controls, II....Pages 230-246
Coating reflectivity....Pages 247-258
Boundary controllability of Maxwell's equations in a spherical region....Pages 259-262
Numerical solution of time-minimal control problems....Pages 263-273
Some problems related to boundary stabilization of plates....Pages 274-281
Sensitivity and optimal synthesis for a class of linear time-delay systems....Pages 282-298
A class of singular control problems....Pages 299-306
Near optimal time boundary controllability for a class of hyperbolic equations....Pages 307-312
Stability enhancement by state feedback....Pages 313-324
Numerical solution of some parabolic boundary control problems by finite elements....Pages 325-335
Invariance under nonlinear perturbations for reachable and almost-reachable sets....Pages 336-345
Sensitivity analysis of optimal control problems for parabolic systems....Pages 346-368
Some nonlinear problems in the control of distributed systems....Pages 369-388
Null controllability and exact controllability for parabolic equations....Pages 389-396
Variable structure control for some evolution equations....Pages 397-400

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This volume comprises the Proceedings of the IFIP 7/2 Conference on Control Problems for Systems Described by Partial Differential Equations and Applications held at the University of Florida, Gainesville, Florida in February 1987. The papers presented in this volume encompass several main directions of current research in the area including optimal control for variational inequalities, free boundary value problems, shape optimization, pareto-control, stabilization and controllability of hyperbolic equations, control problems for large space flexible structures, identification and estimation of distributed parameter systems, and numerical methods for control problems.
Content:
Front Matter....Pages -
On a large space structure control problem....Pages 1-15
The time optimal problem for a class of nonlinear systems....Pages 16-39
Discontinuous solutions in problems of optimization....Pages 40-55
Optimal control for free boundary problems....Pages 56-63
Control methods for the numerical computation of periodic solutions of autonomous differential equations....Pages 64-89
Pareto control of distributed systems. An introduction....Pages 90-104
Abstract stochastic evolution equations and related control and stability problems....Pages 105-120
Viability theorems for control systems with feedbacks....Pages 121-129
On compactness of admissible parameter sets....Pages 130-142
Optimality conditions for optimal control problems of variational inequalities....Pages 143-153
Equivalent control problems and applications....Pages 154-161
Mathematical methods for the control of infectious diseases....Pages 162-174
Solution of the 3-D stationary euler equation by optimal control methods....Pages 175-184
Output least squares stability for estimation of the diffusion coefficient in an elliptic equation....Pages 185-195
Periodic and almost periodic oscillations in nonlinear systems....Pages 196-203
Differentiability of a Min Max and application to optimal control and design problems. Part I....Pages 204-219
Differentiability of a Min Max and application to optimal control and design problems. Part II....Pages 220-229
Optimal control of nonlinear systems: Convergence of suboptimal controls, II....Pages 230-246
Coating reflectivity....Pages 247-258
Boundary controllability of Maxwell's equations in a spherical region....Pages 259-262
Numerical solution of time-minimal control problems....Pages 263-273
Some problems related to boundary stabilization of plates....Pages 274-281
Sensitivity and optimal synthesis for a class of linear time-delay systems....Pages 282-298
A class of singular control problems....Pages 299-306
Near optimal time boundary controllability for a class of hyperbolic equations....Pages 307-312
Stability enhancement by state feedback....Pages 313-324
Numerical solution of some parabolic boundary control problems by finite elements....Pages 325-335
Invariance under nonlinear perturbations for reachable and almost-reachable sets....Pages 336-345
Sensitivity analysis of optimal control problems for parabolic systems....Pages 346-368
Some nonlinear problems in the control of distributed systems....Pages 369-388
Null controllability and exact controllability for parabolic equations....Pages 389-396
Variable structure control for some evolution equations....Pages 397-400
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