Analysis And Optimization Of Systems: State And Frequency Domain Approaches For Infinite-dimensional Systems : Proceedings Of The 10th International Conference, Sophia-antipolis, France, June 9-12, 1992 State And Frequency Domain Approaches For Infinite-d

This volume contains the proceedings of the conference "state and Frequency Domain Approaches to Infinite-Dimensional Systems". The aim was to bring together engineers and mathematicians working in the field of linear infinite-dimensional systems who are specialists in one or more of the following categories of mathematical approaches: semigroup approches,p.d.e. approaches, frequency domain approaches and syntheses of state-space and frequency domain approaches. Since these approaches use very different sophisticated mathematical techniques, it is unusual for a scientist to be expert in all of them. On the other hand, there different approaches all purport to address the same control problems for the same classes of linear infinite-dimensional systems. It is therefore important to compare and discuss the advantages and disadvantages of these different mathematical techniques. To help ameliorate the communication gab a series of introductory tutorial lectures were given by specialists in the above-mentioned fields. There were complemented by some key survey papers on more recent research, as well as by papers representing original research in these areas. 1. Tutorial Lectures -- Semi-group Approach -- Introduction To Semigroup Theory / A. J. Pritchard -- Riccati Equations Arising From Boundary And Point Control Problems / I. Lasiecka -- A State-space Approach To The H[actual Symbol Not Reproducible]-control Problems For Infinite-dimensional Systems / B. Van Keulen -- Synthesis Of State And Frequency Domain Approaches -- Infinite Dimensional System Transfer Functions / F. M. Callier And J. Winkin -- Stabilization And Regulation Of Infinite-dimensional Systems Using Coprime Factorizations / H. Logemann -- Robust Controllers For Infinite-dimensional Systems / R. F. Curtain -- Partial Differential Equation Approaches -- Control For Hyperbolic Equations / G. Lebeau -- An Introduction To The Hilbert Uniqueness Method / A. Bensoussan -- Frequency Domain Approaches -- The Nehari Problem And Optimal Hankel Norm Approximation / N. J. Young -- Topological Approaches To Robutness / T. T. Georgiou And M. C. Smith --^ Frequency Domain Methods For The H[actual Symbol Not Reproducible]-optimization Of Distributed Systems / A. Tannenbaum -- 2. Contributed Papers -- Semi-group Approach -- Disturbance Decoupling Problem For Infinite-dimensional Systems / H. J. Zwart -- Simultaneous Triangular-decoupling, Disturbance-rejection And Stabilization Problem For Infinite-dimensional Systems / N. Otsuka, H. Inaba And K. Toraichi -- Robust Stability Radii For Distributed Parameter Systems: A Survey / S. Townley -- Solutions Of The Are In Terms Of The Hamiltonian For Riesz-spectral Systems / C. R. Kuiper And H. J. Zwart -- Regional Controllability Of Distributed Systems / A. El Jai And A. J. Pritchard -- On Filtering Of The Hilbert Space-valued Stochastic Process Over Discrete-continuous Observations / Y. V. Orlov And M. V. Basin -- Boundary Stabilization Of Rotating Flexible Systems / C. Z. Xu And G. Sallet -- Synthesis Of State And Frequency Domain Approaches --^ Frequency Domain Methods For Proving The Uniform Stability Of Vibrating Systems / R. Rebarber -- The Well-posedness Of Accelerometer Control Systems / K. A. Morris -- Comparison Of Robustly Stabilizing Controllers For A Flexible Beam Model With Additive, Multiplicative And Stable Factor Perturbations / J. Bontsema, R. F. Curtain, C. R. Kuiper And H. M. Osinga -- On The Stability Uniformity Of Infinite-dimensional Systems / H. Zwart, Y. Yamamoto And Y. Gotoh -- Partial Differential Equation Approaches -- High Frequency Asymptotic Approach For Incomplete Spectral And Local Controllability / C. Bardos -- Modelling And Controllability Of Plate-beam Systems / J. E. Lagnese -- A Simple Viscoelastic Damper Model -- Application To A Vibrating String / G. Montseny, J. Audounet And B. Mbodje -- Controllability Of A Rotating Beam / W. Krabs -- Min-max Game Theory For A Class Of Boundary Control Problems / C. Mcmillan And R. Triggiani --^ Microlocal Methods In The Analysis Of The Boundary Element Method / M. Pedersen -- Stochastic Control Approach To The Control Of A Forward Parabolic Equation, Reciprocal Process And Minimum Entropy / A. Blaquiere And M. Sigal-pauchard -- Observability Of Hyperbolic Systems With Interior Moving Sensors / A. Khapalov -- Controllability Of A Multi-dimensional System Of Schrodinger Equations: Application To A System Of Plate And Beam Equations / J. P. Puel And E. Zuazua -- Decay Of Solutions Of The Wave Equation With Nonlinear Boundary Feedback / F. Conrad And B. Rao -- Boundary Approximate Controllability For Semilinear Heat Equations / C. Fabre, J. P. Puel And E. Zuazua -- On The Stabilization Of The Wave Equation / O. Morgul -- Frequency Domain Approaches -- The Hankel Singular Values Of A Distributed Delay Line A Fredholm Equation Approach / L. Pandolfi -- Rational Approximation Of The Transfer Function Of A Viscoelastic Rod / K. B. Hannsgen, R. L. Wheeler And O. J. Staffans --^ Some Extremal Problems Linked With Identification From Partial Frequency Data / D. Alpay, L. Baratchart And J. Leblond -- Approximation Of Infinite-dimensional Discrete Time Linear Systems Via Balanced Realizations And An Application To Fractional Filters / C. Bonnet -- A Relaxation Approach For The Hankel Approximation Of Some Vibrating Structures / N. Maizi -- Numerical Methods For H[actual Symbol Not Reproducible] Control Of Distributed Parameter Systems / D. S. Flamm And K. Klipec -- Robust Controller Design For Uncertain Time Delay Systems / Z. Q. Wang And S. Skogestad -- Parameter Identification Of Large Spacecraft Systems Based On Frequency Characteristics / D. R. Augestein, J. S. Baras And S. M. Fisher -- On The Optimal Minimax Tuning Of Controllers For Distributed Parameter Systems / S. Pohjolainen And M. Laaksonen. R.f. Curtain, Ed. ; A. Bensoussan, J.l. Lions, Hon. Eds. Papers From The 10th International Conference On Analysis And Optimization Of Systems. Includes Index. Includes Bibliographical References And Index. Introduction to semigroup theory....Pages 1-22 Riccati equations arising from boundary and point control problems....Pages 23-45 A state-space approach to H ∞ -control problems for infinite-dimensional systems....Pages 46-71 Infinite dimensional system transfer functions....Pages 72-101 Stabilization and regulation of infinite-dimensional systems using coprime factorizations....Pages 102-139 Robust controllers for infinite-dimensional systems....Pages 140-159 Control for hyperbolic equations....Pages 160-183 An introduction to the hilbert uniqueness method....Pages 184-198 The nehari problem and optimal hankel norm approximation....Pages 199-221 Topological approaches to robustness....Pages 222-241 Frequency domain methods for the H ∞ -Optimization of distributed systems....Pages 242-278 Disturbance decoupling problem for infinite-dimensional systems....Pages 279-289 Simultaneous triangular-decoupling, disturbance-rejection and stabilization problem for infinite-dimensional systems....Pages 290-301 Robust stability radii for distributed parameter systems: A survey....Pages 302-313 Solutions of the ARE in terms of the hamiltonian for riesz-spectral systems....Pages 314-325 Regional controllability of distributed systems....Pages 326-335 On filtering of the hilbert space-valued stochastic process over discrete-continuous observations....Pages 336-346 Boundary stabilization of rotating flexible systems....Pages 347-365 Frequency domain methods for proving the uniform stability of vibrating systems....Pages 366-377 The well-posedness of accelerometer control systems....Pages 378-387 Comparison of robustly stabilizing controllers for a flexible beam model with additive, multiplicative and stable factor perturbations....Pages 388-400 On the stability uniformity of infinite-dimensional systems....Pages 401-409 High frequency asymptotic approach for incomplete spectral and local controllability....Pages 410-422 Modelling and controllability of plate-beam systems....Pages 423-435 A simple viscoelastic damper model — Application to a vibrating string....Pages 436-446 Controllability of a rotating beam....Pages 447-458 Min-Max game theory for a class of boundary control problems....Pages 459-466 Microlocal methods in the analysis of the boundary element method....Pages 467-475 Stochastic control approach to the control of a forward parabolic equation, reciprocal process and minimum entropy....Pages 476-488 Observability of hyperbolic systems with interior moving sensors....Pages 489-499 Controllability of a multi-dimensional system of schrödinger equations: Application to a system of plate and beam equations....Pages 500-511 Decay of solutions of the wave equation with nonlinear boundary feedback....Pages 512-523 Boundary approximate controllability for semilinear heat equations....Pages 524-530 On the stabilization of the wave equation....Pages 531-542 The hankel singular values of a distributed delay line a fredholm equation approach....Pages 543-550 Rational approximation of the transfer function of a viscoelastic rod....Pages 551-562 Some extremal problems linked with indentification from partial frequency data....Pages 563-573 Approximation of infinite dimensional discrete time linear systems via balanced realizations and an application to fractional filters....Pages 574-584 A “relaxation” approach for the hankel approximation of some vibrating structures....Pages 585-597 Numerical methods for H ∞ control of distributed parameter systems....Pages 598-609 Robust controller design for uncertain time delay systems....Pages 610-623 Parameter identification of large spacecraft systems based on frequency characteristics....Pages 624-635 On the optimal minimax tuning of controllers for distributed parameter systems....Pages 636-648 This volume contains the proceedings of the conference "state and Frequency Domain Approaches to Infinite-Dimensional Systems". The aim was to bring together engineers and mathematicians working in the field of linear infinite-dimensional systems who are specialists in one or more of the following categories of mathematical approaches: semigroup approches, p.d.e. approaches, frequency domain approaches and syntheses of state-space and frequency domain approaches. Since these approaches use very different sophisticated mathematical techniques, it is unusual for a scientist to be expert in all of them. On the other hand, there different approaches all purport to address the same control problems for the same classes of linear infinite-dimensional systems. It is therefore important to compare and discuss the advantages and disadvantages of these different mathematical techniques. To help ameliorate the communication gab a series of introductory tutorial lectures were given by specialists in the above-mentioned fields. There were complemented by some key survey papers on more recent research, as well as by papers representing original research in these areas The aim of the conference upon which this text is based was to bring together engineers and mathematicians working in the field of linear infinite-dimensional systems. The topics covered include linear quadratic optimal control and Riccati equations and topological approaches to robustness.