Modeling, Estimation and Control of Systems with Uncertainty: Proceedings of a Conference held in Sopron, Hungary, September 1990

This volume contains the papers that have been presented at the Conference on Modeling and Control of Uncertain Systems held in Sopron, Hungary on September 3-7, 1990, organised within the framework of the activities of the System and Decision Sciences Program of IIASA - the International Institute for Applied Systems Analysis. The importance of the subject has drawn the attention of researchers all over the world since several years. In fact, in most actual applications the knowledge about the system under investigation presents aspects of uncertainty due to measurement errors or poor understanding of the rele­ vant underlying mechanisms. For this reason models that take into account these intrinsic uncertainties have been used and techniques for the analysis of their behavior as well as for their estimation and control have been devel­ oped. The main ways to deal with uncertainty consist in its description by stochastic processes or in terms of set-valued dynamics and this volume col­ lects relevant contributions in both directions. However, in order to avoid undesirable distinctions between these approaches, but on the contrary to stress the unity of ideas, we decided to organize the papers according to the alphabetical order of their authors. We should like to take this opportunity to thank IIASA for supporting the Conference and the Hungarian National Member Organization for the kind hospitality in Sopron. Finally we would like to express our gratitude to Ms. Donna Huchthausen for her valuable secretarial assistance. Vienna, February 20, 1991 GIOVANNI B.

Table of Contents:
Feedback Controls for Uncertain Systems.- Inner-unstable Factorization of Stable Rational Transfer Functions.- Some Remarks on Multivariable Adaptive Control with Least Squares Parameter Estimates.- Stable, Unstable and Center Manifolds for Fast Filtering Algorithms.- Stabilization of Uncertain Linear Systems.- Identification of Linear Systems From Noisy Data.- Adaptive Control of a Partially Observable Stochastic System.- Characterization and Classification of Gaussian Second Order Reciprocal Processes.- On Balancing and Hankel Operators.- System Identification from an Arbitrary Observed Impulse Response.- Assessing Model Quality from Data.- Stable Graphs of Multi-functions in Conflict Controlled Systems.- On Optimal Control of Singularly Perturbed Stochastic Differential Equations.- Describing Uncertainty in Dynamical Systems by Uncertain Restrictions.- Controller and Observer Design for Cubic Systems.- On the Separation Principle in Guaranteed Control.- Robust Stability of Linear Dynamic Systems.- The Problem of Control Synthesis for Uncertain Systems: Ellipsoidal Techniques.- Aircraft Control for Flight in an Uncertain Environment: Takeoff in Windshear.- Analysis of Infinite Dimensional Dynamic Systems with Nonlinear Observation Over a Finite Field.- Limit Behaviour of Attainable and Superattainable Sets.- On Free Energy, Stochastic Control and Schrödinger Processes.- The Properties of Continuity and Differentiation of Solution Sets of Lischetzean Differential Inclusions.- Target Problems and Viability Kernels.- Nearly Optimal Controls for Partially Observable Problems with the Average Cost Criterion.- On Discontinuous Optimal Control.- RELGAS.- On Construction of Asymptotically Optimal Strategies in Estimation Problem for Controlled Systems.- A Model for PricingInterruptible Electric Power Service.- For Which Control Objectives Tuning Hold?.- Approximate Modeling by Means of Orthonormal Functions.