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Full Description
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.
Contents
On cellular automaton approaches to modelling biological cells.- Crystalline stochastic systems and curvature driven flows.- Overdetermined multidimensional systems: State space and frequency domain methods.- Dissipative dynamics in classical and quantum conservative systems.- A state space approach to control of interconnected systems.- Multi-dimensional capacity, pressure and Hausdorff dimension.- Numerics versus control.- Manipulating matrix inequalities automatically.- A dynamical system approach to matrix eigenvalue algorithms.- Belief propagation on partially ordered sets.- Smoothing by Savitzky-Golay and Legendre filters.- On stochastic control in finance.- Control and financial engineering.- Passive and conservative infinite-dimensional impedance and scattering systems (from a personal point of view).- Spectral theory for neutral delay equations with applications to control and stabilization.- On factor graphs and electrical networks.- Dissipative distributed systems.
