Speed Gradient Method and Its Applications

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Speed Gradient Method and Its Applications. / Andrievsky, B. R.; Fradkov, A. L.

In: Automation and Remote Control, Vol. 82, No. 9, 01.09.2021, p. 1463-1518.

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

Author

Andrievsky, B. R. ; Fradkov, A. L. / Speed Gradient Method and Its Applications. In: Automation and Remote Control. 2021 ; Vol. 82, No. 9. pp. 1463-1518.

BibTeX

@article{4e5576b7b5f14135b6823c45fa3e6f51,

title = "Speed Gradient Method and Its Applications",

abstract = "The survey examines the current state of the speed gradient method, developed in the 1970-80s for synthesizing control and adaptation algorithms in nonlinear systems, as well as numerous applications of the method to solving scientific and engineering problems. Brief information about speed gradient algorithms and conditions of their applicability, optimality, and passivity are given. Applications of the method to problems of adaptive control and identification, nonlinear control, energy and nonlinear oscillation control, and control in network, multiagent, and distributed systems are discussed. Applications of the method to control of technical systems and to problems in physics, biology, and ecology are presented. Modern modifications and generalizations of the method are provided, including non-Euclidean speed gradient algorithms based on Lyapunov-Bregman functions.",

keywords = "adaptation, biology, control, distributed systems, ecology, energy control, identification, networks, nonlinear oscillations, nonlinear systems, passification, physics, speed gradient, technical systems, ENERGY CONTROL, FEEDBACK-CONTROL, INVARIANT-SETS, OPTIMAL ADAPTIVE-CONTROL, NONLINEAR VIBRATIONS, STABILIZATION, ALGORITHMS, SYSTEMS, WING-ROCK CONTROL, CONTROLLED SYNCHRONIZATION",

author = "Andrievsky, {B. R.} and Fradkov, {A. L.}",

note = "Andrievsky, B.R., Fradkov, A.L. Speed Gradient Method and Its Applications. Autom Remote Control 82, 1463–1518 (2021). https://doi.org/10.1134/S0005117921090010",

year = "2021",

month = sep,

day = "1",

doi = "10.1134/s0005117921090010",

language = "English",

volume = "82",

pages = "1463--1518",

journal = "Automation and Remote Control",

issn = "0005-1179",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "9",

}

RIS

TY - JOUR

T1 - Speed Gradient Method and Its Applications

AU - Andrievsky, B. R.

AU - Fradkov, A. L.

N1 - Andrievsky, B.R., Fradkov, A.L. Speed Gradient Method and Its Applications. Autom Remote Control 82, 1463–1518 (2021). https://doi.org/10.1134/S0005117921090010

PY - 2021/9/1

Y1 - 2021/9/1

N2 - The survey examines the current state of the speed gradient method, developed in the 1970-80s for synthesizing control and adaptation algorithms in nonlinear systems, as well as numerous applications of the method to solving scientific and engineering problems. Brief information about speed gradient algorithms and conditions of their applicability, optimality, and passivity are given. Applications of the method to problems of adaptive control and identification, nonlinear control, energy and nonlinear oscillation control, and control in network, multiagent, and distributed systems are discussed. Applications of the method to control of technical systems and to problems in physics, biology, and ecology are presented. Modern modifications and generalizations of the method are provided, including non-Euclidean speed gradient algorithms based on Lyapunov-Bregman functions.

AB - The survey examines the current state of the speed gradient method, developed in the 1970-80s for synthesizing control and adaptation algorithms in nonlinear systems, as well as numerous applications of the method to solving scientific and engineering problems. Brief information about speed gradient algorithms and conditions of their applicability, optimality, and passivity are given. Applications of the method to problems of adaptive control and identification, nonlinear control, energy and nonlinear oscillation control, and control in network, multiagent, and distributed systems are discussed. Applications of the method to control of technical systems and to problems in physics, biology, and ecology are presented. Modern modifications and generalizations of the method are provided, including non-Euclidean speed gradient algorithms based on Lyapunov-Bregman functions.

KW - adaptation

KW - biology

KW - control

KW - distributed systems

KW - ecology

KW - energy control

KW - identification

KW - networks

KW - nonlinear oscillations

KW - nonlinear systems

KW - passification

KW - physics

KW - speed gradient

KW - technical systems

KW - ENERGY CONTROL

KW - FEEDBACK-CONTROL

KW - INVARIANT-SETS

KW - OPTIMAL ADAPTIVE-CONTROL

KW - NONLINEAR VIBRATIONS

KW - STABILIZATION

KW - ALGORITHMS

KW - SYSTEMS

KW - WING-ROCK CONTROL

KW - CONTROLLED SYNCHRONIZATION

UR - http://www.scopus.com/inward/record.url?scp=85118777220&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/7a38a647-3f77-379c-a7ae-8dd88b074bc2/

U2 - 10.1134/s0005117921090010

DO - 10.1134/s0005117921090010

M3 - Article

AN - SCOPUS:85118777220

VL - 82

SP - 1463

EP - 1518

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 9

ER -

ID: 88676216