Accession Number : AD0781833

Title :   Observers for Infinite Dimensional Linear Systems.

Descriptive Note : Doctoral thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING

Personal Author(s) : Gressang,Randall V.

Report Date : MAY 1974

Pagination or Media Count : 201

Abstract : Observers for infinite dimensional systems modeled by semigroups are defined. Properties of these observers and of closed loop control systems using observers are derived. The spectrum of a closed loop system using an observer is shown to be the union of the spectrum of the observer with the spectrum of the closed loop system without observer. Conditions are derived for identity and reduced order observers to exist for systems modeled by strongly continuous semigroups, with state space a Banach space, and for systems moded by strongly continuous groups with state space a separable Hilbert space. These results are applied to ordinary differential equations, linear differential equations, parabolic partial differential equations, and wave equations. (Modified author abstract)

Descriptors :   *Control theory, Linear systems, Feedback, Differential equations, Hilbert space, Yaw, Heat exchangers, Mathematical models, Theses

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE