Ebook: Computation and Control: Proceedings of the Bozeman Conference, Bozeman, Montana, August 1–11, 1988

The problem of developing a systematic approach to the design of feed­ back strategies capable of shaping the response of complicated dynamical control systems illustrates the integration of a wide variety of mathemat­ ical disciplines typical of the modern theory of systems and control. As a concrete example, one may consider the control of fluid flow across an airfoil, for which recent experiments indicate the possibility of delaying the onset of turbulence by controlling viscosity through thermal actuators located on the airfoil. In general, there are two approaches to the con­ trol of such a complica. ted process, the development of extremely detailed models of the process followed by the derivation of a more "dedicated" feed­ back law or the development of a more simple model class followed by the derivation of control laws which are more robust to unmodelled dynamics and exogeneous disturbances. In either approach, the two twin themes of approximation and computation play a significant role in the derivation and implementation of resulting control laws. And there is no doubt that the cross-fertilization between these twin themes and control theory will increase unabated throughout the next decade, not just as an important component of design and implementation of control laws but also as a source of new problems in computational mathematics. In this volume, we present a collection of papers which were deliv­ ered at the first Bozeman Conference on Computation and Control, held at Montana State University on August 1-11, 1988.

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Content:
Front Matter....Pages I-XIII
Simultaneous Stabilization of Linear Time Varying Systems by Linear Time Varying Compensation....Pages 1-9
Robust Feedback Stabilization of Nonlinear Systems....Pages 11-22
Feedback Design from the Zero Dynamics Point of View....Pages 23-52
Two Examples of Stabilizable Second Order Systems....Pages 53-61
Orthogonality — Conventional and Unconventional — In Numerical Analysis....Pages 63-95
Discrete Observability of Parabolic Initial Boundary Value Problems....Pages 97-104
Numerical Optimal Control Via Smooth Penalty Functions....Pages 105-115
Observability and Inverse Problems Arising in Electrocardiography....Pages 117-131
Eigenvalue Approximations on the Entire Real Line....Pages 133-144
Prediction Bands for ILL-Posed Problems....Pages 145-154
Controllability, Approximations and Stabilization....Pages 155-167
Interval Mathematics Techniques for Control Theory Computations....Pages 169-178
Accuracy and Conditioning in the Inversion of the Heat Equation....Pages 179-196
On the Recovery of Surface Temperature and Heat Flux via Convolutions....Pages 197-207
Observability, Interpolation and Related Topics....Pages 209-232
Constructing Polynomials over Finite Fields....Pages 233-252
A Collocative Variation of the Sinc-Galerkin Method for Second Order Boundary Value Problems....Pages 253-261
A Sinc-Collocation Method for Weakly Singular Volterra Integral Equations....Pages 263-275
Tuning Natural Frequencies by Output Feedback....Pages 277-282
Efficient Numerical Solution of Fourth-Order Problems in the Modeling of Flexible Structures....Pages 283-297
Explicit Approximate Methods for Computational Control Theory....Pages 299-316
Sinc Approximate Solution of Quasilinear Equations of Conservation Law Type....Pages 317-331
Systems with Fast Chaotic Components....Pages 333-341
Bifurcation and Persistance of Minima in Nonlinear Parametric Programming....Pages 343-353
Numerical Solution of an Ill-Posed Coefficient Identification Problem....Pages 355-364
Observability, Predictability and Chaos....Pages 365-374
Geometric Inverse Eigenvalue Problem....Pages 375-383
Observability and Group Representation Theory....Pages 385-391
Highly-Accurate Difference Schemes for Solving Hyperbolic Problems....Pages 393-402
A Finite Spectrum Unmixing Set For mathcal{G}mathcal{L}{text{(3,}}mathcal{R}{text{)}}....Pages 403-410

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Content:
Front Matter....Pages I-XIII
Simultaneous Stabilization of Linear Time Varying Systems by Linear Time Varying Compensation....Pages 1-9
Robust Feedback Stabilization of Nonlinear Systems....Pages 11-22
Feedback Design from the Zero Dynamics Point of View....Pages 23-52
Two Examples of Stabilizable Second Order Systems....Pages 53-61
Orthogonality — Conventional and Unconventional — In Numerical Analysis....Pages 63-95
Discrete Observability of Parabolic Initial Boundary Value Problems....Pages 97-104
Numerical Optimal Control Via Smooth Penalty Functions....Pages 105-115
Observability and Inverse Problems Arising in Electrocardiography....Pages 117-131
Eigenvalue Approximations on the Entire Real Line....Pages 133-144
Prediction Bands for ILL-Posed Problems....Pages 145-154
Controllability, Approximations and Stabilization....Pages 155-167
Interval Mathematics Techniques for Control Theory Computations....Pages 169-178
Accuracy and Conditioning in the Inversion of the Heat Equation....Pages 179-196
On the Recovery of Surface Temperature and Heat Flux via Convolutions....Pages 197-207
Observability, Interpolation and Related Topics....Pages 209-232
Constructing Polynomials over Finite Fields....Pages 233-252
A Collocative Variation of the Sinc-Galerkin Method for Second Order Boundary Value Problems....Pages 253-261
A Sinc-Collocation Method for Weakly Singular Volterra Integral Equations....Pages 263-275
Tuning Natural Frequencies by Output Feedback....Pages 277-282
Efficient Numerical Solution of Fourth-Order Problems in the Modeling of Flexible Structures....Pages 283-297
Explicit Approximate Methods for Computational Control Theory....Pages 299-316
Sinc Approximate Solution of Quasilinear Equations of Conservation Law Type....Pages 317-331
Systems with Fast Chaotic Components....Pages 333-341
Bifurcation and Persistance of Minima in Nonlinear Parametric Programming....Pages 343-353
Numerical Solution of an Ill-Posed Coefficient Identification Problem....Pages 355-364
Observability, Predictability and Chaos....Pages 365-374
Geometric Inverse Eigenvalue Problem....Pages 375-383
Observability and Group Representation Theory....Pages 385-391
Highly-Accurate Difference Schemes for Solving Hyperbolic Problems....Pages 393-402
A Finite Spectrum Unmixing Set For mathcal{G}mathcal{L}{text{(3,}}mathcal{R}{text{)}}....Pages 403-410
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