Characterization and Computation of a Good Control

Stephen L. Campbell , Roswitha März

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976),

MSC 2000

49K15 Problems involving ordinary differential equations

49N10 Linear-quadratic problems

34A09 Implicit equations, differential-algebraic equations

Abstract
Models for physical systems often take the form of implicit or behavioral models. One important problem is the identification of which combinations of variables are good candidtates for control variables. This paper first provides one solution to this problem for linear time varying systems. The solution is shown to be related to a general optimization problem. It is then shown how these same algorithms can be extended to a large and important class of nonlinear systems.