Modelling and Inverse Problems of Control for Distributed Parameter Systems: Proceedings of IFIP (W.G.7.2)-IIASA Conference, Laxenburg, Austria, July 24–28, 1989

ISBN-13: 9783540535836 / Angielski / Miękka / 1991 / 170 str.

Alexander Kurzhanski;Irena Lasiecka

Opis

This book discusses inverse problems that arise in the estimation and control of distributed parameter systems in the face of uncertainty, as well as applications of these techniques to mathematical modelling for problems of applied system analysis (eg environmental issues, technological issues, technological processes, biomethematical models, mathematical economy and other fields). The main topics of the research papers which comprise this book are: estimation of the state and of the parameters for distributed parameter systems, control problems with state constraints, exponential stabilization and shape optimization. This book of proceedings on control theory, applied system analysis and estimation theory is intended for researchers, advanced students and engineers.

Spis treści

Tracking property: A viability approach.- Extensions and global estimates for evolutionary discrete control systems.- Controlling the dynamics of scalar reaction diffusion equations by finite dimensional controllers.- Estimation of catalyst pellet activity distribution.- Some remarks on the periodic linear quadratic regulator problem.- Infinite dimensional control problems with state constraints.- Approximate and numerical methods of the optimal control synthesis for stochastic systems.- Convergence rates for regularized nonlinear illposed problems.- On inverse problems for evolutionary systems: Guaranteed estimates and regularized solutions.- Exponential stabilization, via Riccati operator, of hyperbolic systems with uncontrolled, unbounded perturbations.- Some two-dimensional boundary shape optimization problems for distributed parameter systems.- Inverse problem of dynamics for systems described by parabolic inequality.- Sensitivity analysis of shallow shell with obstacle.- A note on an interaction between penalization and discretization.- Problems of mathematical modelling of nonlinear processes.- Some results concerning free boundary problems solved by domain (or shape) optimization of energy.