Mathematical Systems Theory in Biology, Communications, Computation and Finance

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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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.

• algorithm
• algorithms
• chemical engineering
• communication
• modeling
• robotics
• systems theory
• information and communication, circuits
• complexity

• 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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