Modeling and Control of Systems in Engineering, Quantum Mechanics, Economics and Biosciences: Proceedings of the Bellman Continuum Workshop 1988, June [Paperback]
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.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 Schr?dinger 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.- Nongaussil=