Mathematical Systems Theory in Biology, Communications, Computation and Finance

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Joachim Rosenthal, David S. Gilliam
Springer Science & Business Media, Sep 2, 2003 - Science - 504 pages
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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.
 

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Contents

ON CELLULAR AUTOMATON APPROACHES TO MODELING BIOLOGICAL CELLS
1
CRYSTALLINE STOCHASTIC SYSTEMS AND CURVATURE DRIVEN FLOWS
41
STATE SPACE AND FREQUENCY DOMAIN METHODS
63
DISSIPATIVE DYNAMICS IN CLASSICAL AND QUANTUM CONSERVATIVE SYSTEMS
121
A STATE SPACE APPROACH TO CONTROL OF INTERCONNECTED SYSTEMS
157
MULTIDIMENSIONAL CAPACITY PRESSURE AND HAUSDORFF DIMENSION
183
NUMERICS VERSUS CONTROL
223
MANIPULATING MATRIX INEQUALITIES AUTOMATICALLY
237
BELIEF PROPAGATION ON PARTIALLY ORDERED SETS
275
SMOOTHING BY SAVITZKYGOLAY AND LEGENDRE FILTERS
301
ON STOCHASTIC CONTROL IN FINANCE
317
CONTROL AND FINANCIAL ENGINEERING
345
IMPEDANCE AND SCATTERING SYSTEMS FROM A PERSONAL POINT OF VIEW
375
WITH APPLICATIONS TO CONTROL AND STABILIZATION
415
ON FACTOR GRAPHS AND ELECTRICAL NETWORKS
469
DISSIPATIVE DISTRIBUTED SYSTEMS
493

A DYNAMICAL SYSTEM APPROACH TO MATRIX EIGENVALUE ALGORITHMS
257

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