Modeling and Control of Systems in Engineering, Quantum Mechanics, Economics and Biosciences Proceedings of the Bellman Continuum Workshop 1988, June 13{u2013}14, Sophia Antipolis, France

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....Pages 1-14 On robust control of uncertain linear systems in the absence of matching conditions....Pages 15-36 Singularly perturbed uncertain systems and dynamic output feedback control....Pages 37-50 Control of uncertain mechanical systems with robustness in the presence of unmodelled flexibilities....Pages 51-64 Output feedback control of uncertain systems in the presence of unmodeled actuator and sensor dynamics....Pages 65-88 Robust model tracking for a class of singularly perturbed nonlinear systems via composite control....Pages 89-110 Control of uncertain dynamical systems: Simultaneous stabilization problems....Pages 111-119 A new approach to the modelling uncertainty problem of systems described in state space form....Pages 121-129 Nonsmooth solutions of Hamilton-Jacobi-Bellman equation....Pages 131-147 Stochastic quantization....Pages 149-159 Local controllability of generalized quantum mechanical systems....Pages 161-172 Calculus of variations and quantum probability....Pages 173-191 From two stochastic optimal control problems to the Schrodinger equation....Pages 193-215 Girsanov transformation and two stochastic optimal control problems. The Schrödinger system and related controllability results....Pages 217-243 Nondemolition measurements, nonlinear filtering and dynamic programming of quantum stochastic processes....Pages 245-265 Global methods to improve control and optimal control of resonance interaction of light and matter....Pages 267-298 Nongaussian linear filtering, identification of linear systems, and the symplectic group....Pages 299-308 Logarithmic transformations with applications in probability and stochastic control....Pages 309-311 Dynamic optimization of some forward-looking stochastic models....Pages 313-336 Victory and defeat in differential games....Pages 337-347 Bargaining with dynamic information....Pages 349-353 Optimal bayesian control of a nonlinear regression process with unknown parameters....Pages 355-362 A three-mirror problem on dynamic programming....Pages 363-382 Control theory and biological regulations: Bipolar controls....Pages 383-395 Computer models applied to cancer research....Pages 397-411 Quasilinearization in biological systems modeling....Pages 413-421 Cyclic control in ecosystems....Pages 423-436 Self controlled growth policy for a food chain system....Pages 437-442 An approximation procedure for stochastic control problems. Theory and applications....Pages 443-456 Fuzzy arithmetic in qualitative reasoning....Pages 457-467 Existence and computation of solutions for the two dimensional moment problem....Pages 469-478 Speculations on possible directions and applications for the decomposition method....Pages 479-495 Continuity of trajectories of random walks with infinitesimal steps....Pages 497-519