NDLI: Positive controllability of positive dynamical systems

Content Provider	IEEE Xplore Digital Library
Author	Klamka, J.
Copyright Year	2002
Description	Author affiliation: Inst. of Autom., Tech. Univ. Silesia, Gliwice, Poland (Klamka, J.)
Abstract	The paper is devoted to a study of constrained controllability and controllability for linear dynamical systems if the controls are taken to be nonnegative. In analogy to the usual definition of controllability it is possible to introduce the concept of positive controllability. We concentrate on approximate positive controllability for linear infinite-dimensional dynamical systems when the values of controls are taken from a positive closed convex cone and the operator of the system is normal and has pure discrete point spectrum. Special attention is paid for positive infinite-dimensional linear dynamical systems. General approximate constrained controllability results are then applied for distributed parameter dynamical systems described by linear partial differential equations of parabolic type with different kinds of boundary conditions. Several remarks and comments on the relationships between different concepts of controllability are given. Finally, a simple numerical illustrative example is also presented.
Sponsorship	American Autom. Control Council IFAC SICE
Starting Page	4632
Ending Page	4637
File Size	583077
Page Count	6
File Format	PDF
ISBN	0780372980
ISSN	07431619
DOI	10.1109/ACC.2002.1025385
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-05-08
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Controllability Control systems Boundary conditions Partial differential equations Automation Automatic control Distributed parameter systems Control theory Eigenvalues and eigenfunctions Temperature control
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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