Mathematical Systems Theory in Biology, Communications, Computation and Finance

ISBN-13: 9781441923264 / Angielski / Miękka / 2011 / 504 str.

Joachim Rosenthal; David S. Gilliam

Opis

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.

Spis treści

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.

O autorze

The articles contained in this volume are based on papers presented at
the 15th International Symposium on the Mathematical Theory of
Networks and Systems (MTNS 2002), held at the University of Notre
Dame, August 12-16, 2002. Many authors took special care so that their
articles are self-contained and accessible also to non-specialists.