Accession Number : ADA193510

Title :   Feedback Stabilization of du/dt =Au + Bf in Hilbert Space When the Normalization Function is or = r.

Descriptive Note : Technical Summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s) : Slemrod, Marshall

PDF Url : ADA193510

Report Date : Sep 1987

Pagination or Media Count : 27

Abstract : This paper considers the feedback stabilization of a linear control system in an infinite dimensional state space. However unlike the standard feedback control problem where the goal is to find a linear feedback control law, we restrict ourselves to the case where the controls f(t) satisfy a certain priori constraint. The author derives such a nonlinear feedback law based on energy stability methods. The analysis of the asymptotic behavior of the state u(t) is based on the theories of nonlinear evolution equations and contraction semigroups. While an earlier paper treated related problem of sub-optimal control the results given here on feedback stabilization are new. A related optimal control problem was considered by Barbu.

Descriptors :   *CONTROL THEORY, *FEEDBACK, *NONLINEAR SYSTEMS, *STABILIZATION, ASYMPTOTIC SERIES, ENERGY, EVOLUTION(GENERAL), HILBERT SPACE, LINEAR SYSTEMS, NONLINEAR ALGEBRAIC EQUATIONS, NORMALIZING(STATISTICS), OPTIMIZATION, STABILITY, CONTROL SYSTEMS

Subject Categories : Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE