Absolute Stability Methods

Joaquin Carrasco; William Heath; Peter Seiler

doi:10.1016/B978-0-443-14081-5.00065-9

Absolute Stability Methods

Joaquin Carrasco
, William Heath
, Peter Seiler

School of Computer Science & Engineering

University of Manchester
University of Michigan

Research output: Chapter in Book/Report/Conference proceeding › Entry for encyclopedia/dictionary › peer-review

Abstract

Absolute stability concerns the feedback interconnection of two causal systems: one being linear time-invariant, and the other belonging to a specific class. Its study has been the source for many important results in systems theory from the Popov criterion and so-called KYP Lemma in the 1960s through to applications of Integral Quadratic Constraint theory in the present day.

Original language	English
Title of host publication	Encyclopedia of Systems and Control Engineering
Publisher	Elsevier
ISBN (Print)	9780443140815
DOIs	https://doi.org/10.1016/B978-0-443-14081-5.00065-9
Publication status	E-pub ahead of print - 28 Mar 2025

Access to Document

10.1016/B978-0-443-14081-5.00065-9

Cite this

@inbook{14f925dd06264eb8b7070433d16f8c63,

title = "Absolute Stability Methods",

abstract = "Absolute stability concerns the feedback interconnection of two causal systems: one being linear time-invariant, and the other belonging to a specific class. Its study has been the source for many important results in systems theory from the Popov criterion and so-called KYP Lemma in the 1960s through to applications of Integral Quadratic Constraint theory in the present day.",

author = "Joaquin Carrasco and William Heath and Peter Seiler",

year = "2025",

month = mar,

day = "28",

doi = "10.1016/B978-0-443-14081-5.00065-9",

language = "English",

isbn = "9780443140815",

booktitle = "Encyclopedia of Systems and Control Engineering",

publisher = "Elsevier",

address = "Netherlands",

}

TY - CHAP

T1 - Absolute Stability Methods

AU - Carrasco, Joaquin

AU - Heath, William

AU - Seiler, Peter

PY - 2025/3/28

Y1 - 2025/3/28

N2 - Absolute stability concerns the feedback interconnection of two causal systems: one being linear time-invariant, and the other belonging to a specific class. Its study has been the source for many important results in systems theory from the Popov criterion and so-called KYP Lemma in the 1960s through to applications of Integral Quadratic Constraint theory in the present day.

AB - Absolute stability concerns the feedback interconnection of two causal systems: one being linear time-invariant, and the other belonging to a specific class. Its study has been the source for many important results in systems theory from the Popov criterion and so-called KYP Lemma in the 1960s through to applications of Integral Quadratic Constraint theory in the present day.

U2 - 10.1016/B978-0-443-14081-5.00065-9

DO - 10.1016/B978-0-443-14081-5.00065-9

M3 - Entry for encyclopedia/dictionary

SN - 9780443140815

BT - Encyclopedia of Systems and Control Engineering

PB - Elsevier

ER -

Absolute Stability Methods

Abstract

Access to Document

Fingerprint

Cite this