Linear TDSs

Emilia Fridman

doi:10.1007/978-3-319-09393-2_2

Linear TDSs

Emilia Fridman

School of Electrical Engineering

Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this chapter, we discuss linear TDSs: fundamental matrices and solutions of non-homogeneous equations, characteristic equations, and location of eigenvalues for RDEs and NDEs, as well as effects of delays on stability. A simple frequency domain method for stability of linear time-invariant (LTI) systems with a single delay is presented. The chapter discusses also controllability and observability of LTI TDSs.

Original language	English
Title of host publication	Systems and Control
Subtitle of host publication	Foundations and Applications
Pages	23-49
Number of pages	27
Edition	9783319093925
DOIs	https://doi.org/10.1007/978-3-319-09393-2_2
State	Published - 2014

Publication series

Name	Systems and Control: Foundations and Applications
Number	9783319093925
Volume	0

Keywords

Adjoint system
Characteristic root
Constant delay
Fundamental matrix
Imaginary axis

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Computer Science Applications
Control and Optimization
Computational Mathematics

Access to Document

10.1007/978-3-319-09393-2_2

Cite this

@inbook{95d1a302cb51494184fe24a1b701bde0,

title = "Linear TDSs",

abstract = "In this chapter, we discuss linear TDSs: fundamental matrices and solutions of non-homogeneous equations, characteristic equations, and location of eigenvalues for RDEs and NDEs, as well as effects of delays on stability. A simple frequency domain method for stability of linear time-invariant (LTI) systems with a single delay is presented. The chapter discusses also controllability and observability of LTI TDSs.",

keywords = "Adjoint system, Characteristic root, Constant delay, Fundamental matrix, Imaginary axis",

author = "Emilia Fridman",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2014.",

year = "2014",

doi = "10.1007/978-3-319-09393-2_2",

language = "الإنجليزيّة",

series = "Systems and Control: Foundations and Applications",

number = "9783319093925",

pages = "23--49",

booktitle = "Systems and Control",

edition = "9783319093925",

}

TY - CHAP

T1 - Linear TDSs

AU - Fridman, Emilia

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2014.

PY - 2014

Y1 - 2014

N2 - In this chapter, we discuss linear TDSs: fundamental matrices and solutions of non-homogeneous equations, characteristic equations, and location of eigenvalues for RDEs and NDEs, as well as effects of delays on stability. A simple frequency domain method for stability of linear time-invariant (LTI) systems with a single delay is presented. The chapter discusses also controllability and observability of LTI TDSs.

AB - In this chapter, we discuss linear TDSs: fundamental matrices and solutions of non-homogeneous equations, characteristic equations, and location of eigenvalues for RDEs and NDEs, as well as effects of delays on stability. A simple frequency domain method for stability of linear time-invariant (LTI) systems with a single delay is presented. The chapter discusses also controllability and observability of LTI TDSs.

KW - Adjoint system

KW - Characteristic root

KW - Constant delay

KW - Fundamental matrix

KW - Imaginary axis

UR - http://www.scopus.com/inward/record.url?scp=85044621227&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-09393-2_2

DO - 10.1007/978-3-319-09393-2_2

M3 - فصل

T3 - Systems and Control: Foundations and Applications

SP - 23

EP - 49

BT - Systems and Control

ER -

Linear TDSs

Abstract

Publication series

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this