Constrained approximate controllability

Author

Klamka, Jerzy

Author_Institution

Inst. of Autom., Tech. Univ., Gliwice, Poland

Volume

45

Issue

9

fYear

2000

fDate

9/1/2000 12:00:00 AM

Firstpage

1745

Lastpage

1749

Abstract

In the paper, constrained approximate controllability for linear dynamical systems described by abstract differential equations with unbounded control operator is considered. Using methods of spectral analysis for linear self-adjoint operators and general constrained controllability results given by Son (1990), necessary and sufficient conditions of the constrained approximate controllability for the piecewise polynomial controls with values in a given cone are formulated and proved. Moreover, as illustrative examples, constrained approximate boundary controllability of one-dimensional distributed parameter dynamical systems described by partial differential equations of parabolic type with Dirichlet and Neumann boundary conditions are investigated. The constrained controllability conditions obtained in the paper represent an extension of the unconstrained controllability results given by Glothin (1974) and Klamka (1991)

Keywords

controllability; discrete time systems; distributed parameter systems; linear systems; parabolic equations; partial differential equations; Dirichlet Neumann boundary conditions; controllability; discrete time systems; distributed parameter systems; linear dynamical systems; necessary condition; parabolic equation; partial differential equations; piecewise polynomials; spectral analysis; sufficient condition; Boundary conditions; Control systems; Controllability; Differential equations; Distributed parameter systems; Linear approximation; Linear systems; Partial differential equations; Polynomials; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.880640

Filename

880640