Modeling and Control of Systems in Engineering, Quantum Mechanics, Economics and Biosciences: Proceedings of the Bellman Continuum Workshop 1988, June

ISBN-13: 9783540507901 / Angielski / Miękka / 1989 / 519 str.

Austin Blaquiere

Opis

Part I of this book accounts for new developments concerning robustness, systems with two time scales and related treatments utilizing singular perturbation analysis. Part II is mainly concerned with systems in which uncertainty comes out through quantum mechanical rules; that is, with quantum filtering and control and nondemolition measurements. These are essential steps on the way from quantum physics to quantum technology. Part III reports recent results in mathematical economics, in the framework of dynamic optimization. Part IV is concerned with applications of Bellman's approach to biological systems and ecosystems. Part V is devoted to computational bearings.

Spis treści

Controlling singularly perturbed uncertain dynamical systems.- On robust control of uncertain linear systems in the absence of matching conditions.- Singularly perturbed uncertain systems and dynamic output feedback control.- Control of uncertain mechanical systems with robustness in the presence of unmodelled flexibilities.- Output feedback control of uncertain systems in the presence of unmodeled actuator and sensor dynamics.- Robust model tracking for a class of singularly perturbed nonlinear systems via composite control.- Control of uncertain dynamical systems: Simultaneous stabilization problems.- A new approach to the modelling uncertainty problem of systems described in state space form.- Nonsmooth solutions of Hamilton-Jacobi-Bellman equation.- Stochastic quantization.- Local controllability of generalized quantum mechanical systems.- Calculus of variations and quantum probability.- From two stochastic optimal control problems to the Schrodinger equation.- Girsanov transformation and two stochastic optimal control problems. The Schrödinger system and related controllability results.- Nondemolition measurements, nonlinear filtering and dynamic programming of quantum stochastic processes.- Global methods to improve control and optimal control of resonance interaction of light and matter.- Nongaussian linear filtering, identification of linear systems, and the symplectic group.- Logarithmic transformations with applications in probability and stochastic control.- Dynamic optimization of some forward-looking stochastic models.- Victory and defeat in differential games.- Bargaining with dynamic information.- Optimal bayesian control of a nonlinear regression process with unknown parameters.- A three-mirror problem on dynamic programming.- Control theory and biological regulations: Bipolar controls.- Computer models applied to cancer research.- Quasilinearization in biological systems modeling.- Cyclic control in ecosystems.- Self controlled growth policy for a food chain system.- An approximation procedure for stochastic control problems. Theory and applications.- Fuzzy arithmetic in qualitative reasoning.- Existence and computation of solutions for the two dimensional moment problem.- Speculations on possible directions and applications for the decomposition method.- Continuity of trajectories of random walks with infinitesimal steps.