Mathematical Systems Theory in Biology, Communications, Computation and Finance [Paperback]

This volume contains survey and research articles by some of the leading researchers in mathematical systems theory - a vibrant research area in its own right. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists.

Mathematical systems theory is a vibrant research area in its ownright. The theory has an impact in numerous applications areasincluding aeronautics, biological systems, chemical engineering,communication systems, financial engineering and robotics to name justa few.This volume contains survey and research articles by some of theleading researchers in mathematical systems theory. Many authors havetaken special care that their articles are self-contained andaccessible also to non-specialists. The articles contained in thisvolume are from those presented as plenary lectures, invited one hourlectures and minisymposia at the 15th International Symposium on theMathematical Theory of Networks and Systems held at the University ofNotre Dame, August 12-16, 2002.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 electrl3#