Accession Number : ADA115287

Title :   Control of Dynamical Systems.

Descriptive Note : Annual progress rept. 1 Sep 80-31 Aug 81,

Corporate Author : BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s) : Banks,H T ; Hale,J K ; Infante,E F

PDF Url : ADA115287

Report Date : 31 Aug 1981

Pagination or Media Count : 20

Abstract : Research is reported on approximation techniques to be employed in parameter identification and optimal control problems. A general theoretical framework for such approximation schemes for partial differential equations was developed and tested numerically for the specific case of modal approximations. Significant advances were made in the difficult problems of parameter estimation for delay systems. Results for both semi-discrete and fully discrete methods for linear equations were obtained. Publications include: a book on Methods of Bifurcation Theory by Chow and Hale. An extensive paper on dynamical systems in infinite dimensional spaces with the basic model being functional differential equations and parabolic partial differential equations; a paper on gradient-like delay equations discussing in detail the maximal compact invariant set; a rather complete description of the flows defined by singularly perturbed delay differential equations. Abstracts of the papers resulting from the support of the grant are included in this annual report, as well as a list of papers produced during this period.

Descriptors :   *Numerical analysis, *Approximation(Mathematics), *Partial differential equations, *Theory, Control, Splines(Geometry), Coefficients, Linear systems, Differential equations, Flow, Dynamics, Optimization, Abstracts, Delay

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE