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 in Biology, Communications, Computation and Finance
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.