Controlling Dynamical System to Variety of Goals

Changsong Zhou; Tianlun Chen

doi:10.1088/0253-6102/29/1/51

Controlling Dynamical System to Variety of Goals

Changsong Zhou, Tianlun Chen

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

Abstract

A general method for controlling dynamical system to various desired goal dynamics is proposed. The convergent condition of the control is suggested analytically. A technique of introducing "transient" goal allows the control to be switched on at any time, and the system quickly conforms to the goal closely, almost without transient, resulting in only very small perturbations to the system parameter. The efficiency and superiority of the method is illustrated by simulations on logistic map and Hénon map. This method enables dynamical systems to operate in a much wider variety of situations than that originally designed.

Original language	English
Pages (from-to)	51-58
Number of pages	8
Journal	Communications in Theoretical Physics
Volume	29
Issue number	1
DOIs	https://doi.org/10.1088/0253-6102/29/1/51
Publication status	Published - 30 Jan 1998

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Controlling dynamical system
Goal dynamics

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10.1088/0253-6102/29/1/51

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title = "Controlling Dynamical System to Variety of Goals",

abstract = "A general method for controlling dynamical system to various desired goal dynamics is proposed. The convergent condition of the control is suggested analytically. A technique of introducing {"}transient{"} goal allows the control to be switched on at any time, and the system quickly conforms to the goal closely, almost without transient, resulting in only very small perturbations to the system parameter. The efficiency and superiority of the method is illustrated by simulations on logistic map and H{\'e}non map. This method enables dynamical systems to operate in a much wider variety of situations than that originally designed.",

keywords = "Controlling dynamical system, Goal dynamics",

author = "Changsong Zhou and Tianlun Chen",

note = "Funding Information: The project supported by National Basic Research Project 'Nonlinear Science' and National Natural Science Foundation of China. Publisher Copyright: {\textcopyright} International Academic Publishers.",

year = "1998",

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T1 - Controlling Dynamical System to Variety of Goals

AU - Zhou, Changsong

AU - Chen, Tianlun

N1 - Funding Information: The project supported by National Basic Research Project 'Nonlinear Science' and National Natural Science Foundation of China. Publisher Copyright: © International Academic Publishers.

PY - 1998/1/30

Y1 - 1998/1/30

N2 - A general method for controlling dynamical system to various desired goal dynamics is proposed. The convergent condition of the control is suggested analytically. A technique of introducing "transient" goal allows the control to be switched on at any time, and the system quickly conforms to the goal closely, almost without transient, resulting in only very small perturbations to the system parameter. The efficiency and superiority of the method is illustrated by simulations on logistic map and Hénon map. This method enables dynamical systems to operate in a much wider variety of situations than that originally designed.

AB - A general method for controlling dynamical system to various desired goal dynamics is proposed. The convergent condition of the control is suggested analytically. A technique of introducing "transient" goal allows the control to be switched on at any time, and the system quickly conforms to the goal closely, almost without transient, resulting in only very small perturbations to the system parameter. The efficiency and superiority of the method is illustrated by simulations on logistic map and Hénon map. This method enables dynamical systems to operate in a much wider variety of situations than that originally designed.

KW - Controlling dynamical system

KW - Goal dynamics

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SP - 51

EP - 58

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 1

ER -

Controlling Dynamical System to Variety of Goals

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