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Mathematical Systems Theory in Biology, Communications, Computation and Finance

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Joachim Rosenthal

    1. Department of Mathematics, University of Notre Dame, Notre Dame, USA

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  2. David S. Gilliam

    1. Department of Mathematics and Statistics, Texas Tech University, Lubbock, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 134)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-x
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  2. On Cellular Automaton Approaches to Modeling Biological Cells

    • Mark S. Alber, Maria A. Kiskowski, James A. Glazier, Yi Jiang
    Pages 1-39

  3. Crystalline Stochastic Systems and Curvature Driven Flows

    • Gerard Ben Arous, Allen Tannenbaum, Ofer Zeitouni
    Pages 41-61

  4. Overdetermined Multidimensional Systems: State Space and Frequency Domain Methods

    • Joseph A. Ball, Victor Vinnikov
    Pages 63-119

  5. Dissipative Dynamics in Classical and Quantum Conservative Systems

    • Anthony M. Bloch
    Pages 121-155

  6. A State Space Approach to Control of Interconnected Systems

    • Raffaello D’Andrea, Cedric Langbort, Ramu Chandra
    Pages 157-182

  7. Multi-Dimensional Capacity, Pressure and Hausdorff Dimension

    • Shmuel Friedland
    Pages 183-222

  8. Numerics Versus Control

    • Uwe Helmke, Jens Jordan
    Pages 223-236

  9. Manipulating Matrix Inequalities Automatically

    • J. William Helton
    Pages 237-256

  10. A Dynamical System Approach to Matrix Eigenvalue Algorithms

    • Knut Hüper
    Pages 257-274

  11. Belief Propagation on Partially Ordered Sets

    • Robert J. McEliece, Muhammed Yildirim
    Pages 275-299

  12. Smoothing by Savitzky-Golay and Legendre Filters

    • Per-Olof Persson, Gilbert Strang
    Pages 301-315

  13. On Stochastic Control in Finance

    • Wolfgang J. Runggaldier
    Pages 317-344

  14. Control and Financial Engineering

    • J. M. Schumacher
    Pages 345-374

  15. Passive and Conservative Infinite-Dimensional Impedance and Scattering Systems (From a Personal Point of View)

    • Olof J. Staffans
    Pages 375-413

  16. Spectral Theory for Neutral Delay Equations with Applications to Control and Stabilization

    • Sjoerd M. Verduyn Lunel
    Pages 415-467

  17. On Factor Graphs and Electrical Networks

    • Pascal O. Vontobel, Hans-Andrea Loeliger
    Pages 469-492

  18. Dissipative Distributed Systems

    • Jan C. Willems, Harish K. Pillai
    Pages 493-504

  19. Back Matter

    Pages 505-507
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Keywords

About this book

Mathematical systems theory is a vibrant research area in its own right. The theory has an impact in numerous applications areas including aeronautics, biological systems, chemical engineering, communication systems, financial engineering and robotics to name just a few. This volume contains survey and research articles by some of the leading researchers in mathematical systems theory. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists. The articles contained in this volume are from those presented as plenary lectures, invited one hour lectures and minisymposia at the 15th International Symposium on the Mathematical Theory of Networks and Systems held at the University of Notre Dame, August 12-16, 2002.

Editors and Affiliations

  • Department of Mathematics, University of Notre Dame, Notre Dame, USA

    Joachim Rosenthal

  • Department of Mathematics and Statistics, Texas Tech University, Lubbock, USA

    David S. Gilliam

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