Nonlinear and adaptive control of chaos

A.L. Fradkov; A.Y. Pogromski

doi:10.1002/9783527622313.ch7

Nonlinear and adaptive control of chaos

A.L. Fradkov, A.Y. Pogromski

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

2 Citations (Scopus)

Abstract

Keywords:controlling chaos;extension of methods;nonlinear control of chaos;adaptive control of chaos;preliminaries;methods of nonlinear control;adaptive control Summary This chapter contains sections titled: Introduction Chaos and Control: Preliminaries Definitions of Chaos Models of Controlled Systems Control Goals Methods of Nonlinear Control Gradient Method Speed-Gradient Method Feedback Linearization Other Methods Gradient Control of the Hénon System Feedback Linearization Control of the Lorenz System Speed-Gradient Stabilization of the Equilibrium Point for the Thermal Convection Loop Model Adaptive Control General Definitions Adaptive Master-Slave Synchronization of Rössler Systems Other Problems Conclusions Acknowledgment References

Original language	English
Title of host publication	Handbook of Chaos Control
Editors	E. Schöll, H.Z. Schuster
Place of Publication	Weinheim
Publisher	Wiley-VCH Verlag
Pages	129-157
Edition	2nd
ISBN (Print)	978-3-527-40605-0
DOIs	https://doi.org/10.1002/9783527622313.ch7
Publication status	Published - 2007

Access to Document

10.1002/9783527622313.ch7

Cite this

@inbook{02b7647c266b4006bfed5d79d603dfe5,

title = "Nonlinear and adaptive control of chaos",

abstract = "Keywords:controlling chaos;extension of methods;nonlinear control of chaos;adaptive control of chaos;preliminaries;methods of nonlinear control;adaptive control Summary This chapter contains sections titled: Introduction Chaos and Control: Preliminaries Definitions of Chaos Models of Controlled Systems Control Goals Methods of Nonlinear Control Gradient Method Speed-Gradient Method Feedback Linearization Other Methods Gradient Control of the H{\'e}non System Feedback Linearization Control of the Lorenz System Speed-Gradient Stabilization of the Equilibrium Point for the Thermal Convection Loop Model Adaptive Control General Definitions Adaptive Master-Slave Synchronization of R{\"o}ssler Systems Other Problems Conclusions Acknowledgment References",

author = "A.L. Fradkov and A.Y. Pogromski",

year = "2007",

doi = "10.1002/9783527622313.ch7",

language = "English",

isbn = "978-3-527-40605-0",

pages = "129--157",

editor = "E. Sch{\"o}ll and H.Z. Schuster",

booktitle = "Handbook of Chaos Control",

publisher = "Wiley-VCH Verlag",

address = "Germany",

edition = "2nd",

}

TY - CHAP

T1 - Nonlinear and adaptive control of chaos

AU - Fradkov, A.L.

AU - Pogromski, A.Y.

PY - 2007

Y1 - 2007

N2 - Keywords:controlling chaos;extension of methods;nonlinear control of chaos;adaptive control of chaos;preliminaries;methods of nonlinear control;adaptive control Summary This chapter contains sections titled: Introduction Chaos and Control: Preliminaries Definitions of Chaos Models of Controlled Systems Control Goals Methods of Nonlinear Control Gradient Method Speed-Gradient Method Feedback Linearization Other Methods Gradient Control of the Hénon System Feedback Linearization Control of the Lorenz System Speed-Gradient Stabilization of the Equilibrium Point for the Thermal Convection Loop Model Adaptive Control General Definitions Adaptive Master-Slave Synchronization of Rössler Systems Other Problems Conclusions Acknowledgment References

AB - Keywords:controlling chaos;extension of methods;nonlinear control of chaos;adaptive control of chaos;preliminaries;methods of nonlinear control;adaptive control Summary This chapter contains sections titled: Introduction Chaos and Control: Preliminaries Definitions of Chaos Models of Controlled Systems Control Goals Methods of Nonlinear Control Gradient Method Speed-Gradient Method Feedback Linearization Other Methods Gradient Control of the Hénon System Feedback Linearization Control of the Lorenz System Speed-Gradient Stabilization of the Equilibrium Point for the Thermal Convection Loop Model Adaptive Control General Definitions Adaptive Master-Slave Synchronization of Rössler Systems Other Problems Conclusions Acknowledgment References

U2 - 10.1002/9783527622313.ch7

DO - 10.1002/9783527622313.ch7

M3 - Chapter

SN - 978-3-527-40605-0

SP - 129

EP - 157

BT - Handbook of Chaos Control

A2 - Schöll, E.

A2 - Schuster, H.Z.

PB - Wiley-VCH Verlag

CY - Weinheim

ER -

Nonlinear and adaptive control of chaos

Abstract

Access to Document

Fingerprint

Cite this