Computation and Control III : Proceedings of the Third Bozeman Conference, Bozeman, Montana, August 5–11, 1992

The third Conference on Computation and Control was held at Mon­ tana State University in Bozeman, Montana from August 5-11, 1992 and this proceedings represents the evolution that the conference has taken since its 1988 and 1990 predecessors. The first conference and proceedings (Volume 1 in PSCT) nurtured a dialogue between researchers in control theory and the area of numerical computation. This cross-fertilization was continued with the 1990 conference and proceedings (Volume 11 in PSCT) while forecasting the theme for this conference. The present volume contains a collection of papers addressing issues ranging from noise abatement via smart material technology, robotic vi­ sion, and parameter identification to feedback design challenges in fluid control and other areas of topical interest. The area of feedback design in fluid control spawns computational challenges in the form of Burgers' equation which is addressed both with standard numerical methods as well as new computational procedures. Applications which involve inverse prob­ lems include material parameter estimation and sampling in observability. Whether motivated by the plant or arising as the distributed system in the design of a feedback compensator for problems in nonlinear control, the theme of this conference placed an emphasis on the use of partial dif­ ferential equations in control theory. Through challenges initiated via the control problem or the subsequent computational problem, the joint efforts of experts from the respective disciplines enhance the development of both. Front Matter....Pages i-xiii Theoretical and Computational Aspects of Feedback in Structural Systems with Piezoceramic Controllers....Pages 1-27 Modeling and Approximation of a Coupled 3-D Structural Acoustics Problem....Pages 29-48 Parameter Identification in the Frequency Domain....Pages 49-62 On Model Identification of Gaussian Reciprocal Processes from the Eigenstructure of Their Covariances....Pages 63-71 An inverse Problem in Thermal Imaging....Pages 73-82 Optimal Fixed-Finite-Dimensional Compensator for Burgers’ Equation with Unbounded Input/Output Operators....Pages 83-104 Boundary Control and Stabilization for a Viscous Burgers’ Equation....Pages 105-120 A Sinc-Galerkin Method for Convection Dominated Transport....Pages 121-139 Discrete Observability of the Wave Equation on Bounded Domains in Euclidean Space....Pages 141-151 A New Algorithm for Nonlinear Filtering....Pages 153-163 Continuation Methods for Nonlinear Eigenvalue Problems via a Sinc-Galerkin Scheme....Pages 165-180 On the Kalman-Yacubovich-Popov Lemma for Nonlinear Systems....Pages 181-192 Robust Control of Distributed Parameter Systems with Structured Uncertainty....Pages 193-201 On the Phase Portrait of the Karmarkar’s Flow....Pages 203-210 The Reduced Basis Method in Control Problems....Pages 211-218 Numerical Treatment of Oscillating Integrals Appearing in Heat Conduction Problems....Pages 219-228 Root Locus for Control Systems with Completely Separated Boundary Conditions....Pages 229-239 On the Problem of Parameter Identification in Perspective Systems and Its Application to Motion Estimation Problems in Computer Vision....Pages 241-253 Over—Regularization of Ill—Posed Problems....Pages 255-263 A Model for the Optimal Control of a Measles Epidemic....Pages 265-283 Condition Numbers for the Sinc Matrices Associated with Discretizing the Second-Order Differential Operator....Pages 285-299 Computational Models for Lattice Structures....Pages 301-311 The Partial Differential Equations of Controlled Invariance....Pages 313-332 What is the Distance between Two Autoregressive Systems?....Pages 333-340 Sinc Convolution Approximate Solution of Burgers’ Equation....Pages 341-354 Sinc-Galerkin Collocation Method for Parabolic Equations in Finite Space-Time Regions....Pages 355-366 A Modified Levenberg-Marquardt Algorithm for Large-Scale Inverse Problems....Pages 367-378 A Local Sampling Scheme for Invariant Evolution Equations on a Compact Symmetric Space, Especially the Sphere....Pages 379-390 Hasse Diagram and Dynamic Feedback of Linear Systems....Pages 391-398 Point Placement for Observation of the Heat Equation on the Sphere....Pages 399-408 Back Matter....Pages 409-410