Continuity of dynamical systems: The continuous-time case

J.W. Nieuwenhuis; J.C. Willems

doi:10.1007/BF02134012

Continuity of dynamical systems: The continuous-time case

J.W. Nieuwenhuis^*, J.C. Willems

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

6 Citations (Scopus)

Abstract

The purpose of this paper is to study continuity of the parametrization of continuous-time linear time-invariant differential systems having a finite-dimensional state space. We show that convergence of the behavior of such systems corresponds to convergence of the coefficients of a set of associated differential equations. For this to hold, both the behavior and the convergence need to be appropriately defined.

Original language	English
Pages (from-to)	391-400
Number of pages	10
Journal	Mathematics of control signals and systems
Volume	5
Issue number	4
DOIs	https://doi.org/10.1007/BF02134012
Publication status	Published - 1992

Keywords

LINEAR SYSTEMS
CONTINUITY OF SYSTEMS
DIFFERENTIAL SYSTEMS
PARAMETRIZATION
POLYNOMIAL MATRIX DESCRIPTION

Access to Document

10.1007/BF02134012

Handle.net

Persistent link

Embargoed Document

Continuity of dynamical systems The continuous-time case
Final publisher's version, 533 KB
Request copy

Cite this

@article{56beb6c9f01d429cb6dfa46b548b8732,

title = "Continuity of dynamical systems: The continuous-time case",

abstract = "The purpose of this paper is to study continuity of the parametrization of continuous-time linear time-invariant differential systems having a finite-dimensional state space. We show that convergence of the behavior of such systems corresponds to convergence of the coefficients of a set of associated differential equations. For this to hold, both the behavior and the convergence need to be appropriately defined.",

keywords = "LINEAR SYSTEMS, CONTINUITY OF SYSTEMS, DIFFERENTIAL SYSTEMS, PARAMETRIZATION, POLYNOMIAL MATRIX DESCRIPTION",

author = "J.W. Nieuwenhuis and J.C. Willems",

year = "1992",

doi = "10.1007/BF02134012",

language = "English",

volume = "5",

pages = "391--400",

journal = "Mathematics of control signals and systems",

issn = "0932-4194",

publisher = "SPRINGER LONDON LTD",

number = "4",

}

TY - JOUR

T1 - Continuity of dynamical systems

T2 - The continuous-time case

AU - Nieuwenhuis, J.W.

AU - Willems, J.C.

PY - 1992

Y1 - 1992

N2 - The purpose of this paper is to study continuity of the parametrization of continuous-time linear time-invariant differential systems having a finite-dimensional state space. We show that convergence of the behavior of such systems corresponds to convergence of the coefficients of a set of associated differential equations. For this to hold, both the behavior and the convergence need to be appropriately defined.

AB - The purpose of this paper is to study continuity of the parametrization of continuous-time linear time-invariant differential systems having a finite-dimensional state space. We show that convergence of the behavior of such systems corresponds to convergence of the coefficients of a set of associated differential equations. For this to hold, both the behavior and the convergence need to be appropriately defined.

KW - LINEAR SYSTEMS

KW - CONTINUITY OF SYSTEMS

KW - DIFFERENTIAL SYSTEMS

KW - PARAMETRIZATION

KW - POLYNOMIAL MATRIX DESCRIPTION

U2 - 10.1007/BF02134012

DO - 10.1007/BF02134012

M3 - Article

SN - 0932-4194

VL - 5

SP - 391

EP - 400

JO - Mathematics of control signals and systems

JF - Mathematics of control signals and systems

IS - 4

ER -

Continuity of dynamical systems: The continuous-time case

Abstract

Keywords

Access to Document

Handle.net

Embargoed Document

Fingerprint

Cite this