Ebook: Computation and Control IV: Proceedings of the Fourth Bozeman Conference, Bozeman, Montana, August 3–9, 1994

The fourth Conference on Computation and Control was held at Mon­ tana State University in Bozeman, Montana from August 3-9, 1994. These proceedings represent the continued evolution of the cross-disciplinary dia­ logue begun at the 1988 conference (Volume 1 of PSCT) and continued on a biennial basis in 1990 and 1992. Those proceedings are housed in Volume 11 of PSCT and Volume 15 of PSCT, respectively. In recent years considerable effort has been devoted to the problem of developing rigorous numerical methods and computational tools for con­ trol design and analysis. Although computational problems in control are extremely complex, these problems often have special structures that can be exploited to obtain both theoretical and computational results. More­ over, problems that arise from applications are best addressed by interdis­ ciplinary approaches where experts in various disciplines (e. g. numerical analysis, control theory, fluid dynamics) come together and create numer­ ical algorithms specifically for use in control design. This communication not only creates new mathematical tools, it often produces new research problems in the individual disciplines. This conference continues to bring together leading experts in control theory, numerical mathematics and var­ ious application areas to discuss recent developments in interdisciplinary approaches to computational control. The organizers acknowledge the generous support of the Montana State University Foundation, the National Science Foundation's Division of Mathematical Sciences and the EPSCoR Program (Montana Group for Nonlinear Science).

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The fourth Conference on Computation and Control was held at Montana State University in Bozeman, Montana, from August 3-9, 1994. These proceedings represent the continued evolution on the cross-disciplinary dialogue begun at the 1988 conference (Volume 1 of PSCT) and continued on a biennial basis in 1990 and 1992. Those proceedings are housed in Volume 11 of PSCT and Volume 15 of PSCT, respectively. In recent years considerable effort has been devoted to the problem of developing rigorous numerical methods and computational tools for control design and analysis. Although computational problems in control are extremely complex, these problems often have special structures that can be exploited to obtain both theoretical and computational results. Moreover, problems that arise from applications are best addressed by interdisciplinary approaches where experts in various disciplines (e.g. numerical analysis, control theory, fluid dynamics) come together and create numerical algorithms specifically for use in control design. This communication not only creates new mathematical tools, it often produces new research problems in the individual disciplines. This conference continues to bring together leading experts in control theory, numerical mathematics and various application areas to discuss recent developments in interdisciplinary approaches to computational control.

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The fourth Conference on Computation and Control was held at Montana State University in Bozeman, Montana, from August 3-9, 1994. These proceedings represent the continued evolution on the cross-disciplinary dialogue begun at the 1988 conference (Volume 1 of PSCT) and continued on a biennial basis in 1990 and 1992. Those proceedings are housed in Volume 11 of PSCT and Volume 15 of PSCT, respectively. In recent years considerable effort has been devoted to the problem of developing rigorous numerical methods and computational tools for control design and analysis. Although computational problems in control are extremely complex, these problems often have special structures that can be exploited to obtain both theoretical and computational results. Moreover, problems that arise from applications are best addressed by interdisciplinary approaches where experts in various disciplines (e.g. numerical analysis, control theory, fluid dynamics) come together and create numerical algorithms specifically for use in control design. This communication not only creates new mathematical tools, it often produces new research problems in the individual disciplines. This conference continues to bring together leading experts in control theory, numerical mathematics and various application areas to discuss recent developments in interdisciplinary approaches to computational control.

Content:
Front Matter....Pages i-xi
Well-posedness for a One Dimensional Nonlinear Beam....Pages 1-21
Modeling and Parameter Estimation for an Imperfectly Clamped Plate....Pages 23-42
Discretization of Cost and Sensitivities in Shape Optimization....Pages 43-56
Representation of Feedback Operators for Hyperbolic Systems....Pages 57-73
Steady State Response to Burgers’ Equation with Varying Viscosity....Pages 75-97
A Weighted Mixed-Sensitivity H?-Control Design for IrrationalTransfer Matrices....Pages 99-113
Acuity of Observation of the Heat Equation on a Bounded Domain....Pages 115-126
Designing Controllers for Infinite-Dimensional Systems with Finite-Dimensional Control System Design Tools....Pages 127-141
Preserving Exponential Stability Under Approximation for Distributed Parameter Systems....Pages 143-154
A Comparison of Estimation Methods for Hydraulic Conductivity Functions from Field Data....Pages 155-167
An Adaptive Stencil Finite Differencing Scheme for Linear First Order Hyperbolic Systems—A Preliminary Report....Pages 169-183
Eigenvalue Approximations for Sturm-Liouville Differential Equations with Mixed Boundary Conditions....Pages 185-202
Existence of Functional Gains for Parabolic Control Systems....Pages 203-217
Binocular Observability....Pages 219-228
Dynamics of Ocular Motion....Pages 229-245
The Sinc-Galerkin Schwarz Alternating Method for Poisson’s Equation....Pages 247-256
A Cross Validation Method for First Kind Integral Equations....Pages 259-267
Linear Control Theory, Splines and Interpolation....Pages 269-287
Sinc Approximation of Solution of Heat Equation with Discontinuous Initial Condition....Pages 289-303
Exact Boundary Controllability of a Beam and Mass System....Pages 305-321
A Multigrid Method for Total Variation-Based Image Denoising....Pages 323-331
Parameter Estimation in Surface Catalysis with Reaction-Diffusion Fronts....Pages 333-343
Signal Processing and the Jacobi Group....Pages 345-356

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The fourth Conference on Computation and Control was held at Montana State University in Bozeman, Montana, from August 3-9, 1994. These proceedings represent the continued evolution on the cross-disciplinary dialogue begun at the 1988 conference (Volume 1 of PSCT) and continued on a biennial basis in 1990 and 1992. Those proceedings are housed in Volume 11 of PSCT and Volume 15 of PSCT, respectively. In recent years considerable effort has been devoted to the problem of developing rigorous numerical methods and computational tools for control design and analysis. Although computational problems in control are extremely complex, these problems often have special structures that can be exploited to obtain both theoretical and computational results. Moreover, problems that arise from applications are best addressed by interdisciplinary approaches where experts in various disciplines (e.g. numerical analysis, control theory, fluid dynamics) come together and create numerical algorithms specifically for use in control design. This communication not only creates new mathematical tools, it often produces new research problems in the individual disciplines. This conference continues to bring together leading experts in control theory, numerical mathematics and various application areas to discuss recent developments in interdisciplinary approaches to computational control.

Content:
Front Matter....Pages i-xi
Well-posedness for a One Dimensional Nonlinear Beam....Pages 1-21
Modeling and Parameter Estimation for an Imperfectly Clamped Plate....Pages 23-42
Discretization of Cost and Sensitivities in Shape Optimization....Pages 43-56
Representation of Feedback Operators for Hyperbolic Systems....Pages 57-73
Steady State Response to Burgers’ Equation with Varying Viscosity....Pages 75-97
A Weighted Mixed-Sensitivity H?-Control Design for IrrationalTransfer Matrices....Pages 99-113
Acuity of Observation of the Heat Equation on a Bounded Domain....Pages 115-126
Designing Controllers for Infinite-Dimensional Systems with Finite-Dimensional Control System Design Tools....Pages 127-141
Preserving Exponential Stability Under Approximation for Distributed Parameter Systems....Pages 143-154
A Comparison of Estimation Methods for Hydraulic Conductivity Functions from Field Data....Pages 155-167
An Adaptive Stencil Finite Differencing Scheme for Linear First Order Hyperbolic Systems—A Preliminary Report....Pages 169-183
Eigenvalue Approximations for Sturm-Liouville Differential Equations with Mixed Boundary Conditions....Pages 185-202
Existence of Functional Gains for Parabolic Control Systems....Pages 203-217
Binocular Observability....Pages 219-228
Dynamics of Ocular Motion....Pages 229-245
The Sinc-Galerkin Schwarz Alternating Method for Poisson’s Equation....Pages 247-256
A Cross Validation Method for First Kind Integral Equations....Pages 259-267
Linear Control Theory, Splines and Interpolation....Pages 269-287
Sinc Approximation of Solution of Heat Equation with Discontinuous Initial Condition....Pages 289-303
Exact Boundary Controllability of a Beam and Mass System....Pages 305-321
A Multigrid Method for Total Variation-Based Image Denoising....Pages 323-331
Parameter Estimation in Surface Catalysis with Reaction-Diffusion Fronts....Pages 333-343
Signal Processing and the Jacobi Group....Pages 345-356
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