First-order representation of delay-differential systems

Author

Vettori, P. ; Zampieri, S.

Author_Institution

Dipt. di Elettron. e Inf., Univ. di Padova, Padua, Italy

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

865

Lastpage

869

Abstract

We show that a delay-differential system, i.e. a dynamical system that is defined by a set of equations involving differentiation and both punctual and distributed delays, can be written in a pseudo-state space form, called also first- order representation, which generalizes the state space form for purely differential systems and employs only first-order derivatives and punctual delays.

Keywords

delay-differential systems; differentiation; linear systems; multidimensional systems; state-space methods; delay-differential system; differentiation; distributed delay; dynamical system; first-order derivative; first-order representation; pseudo-state space form; punctual delay; Delays; Kernel; Polynomials; Trajectory; Behavioural Systems; Infinite Dimensional Systems; Linear Systems; Singular Systems; Time Delay Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076020

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=697146