Controlled Pendulum as an example of optimal chaos control

Chakradhar Iyyunni, Isaak Kunin, German Chernykh

Research output

Abstract

A more general class of dynamical systems called the Controlled Pendulum is introduced which in its specialization has both the Controlled Duffing and Lorenz models. We develop the system of equations for a general class of pendulum type systems. By introducing new observables we demonstrate that these models exhibit order in chaos. Finally, we use discrete methods to extract information about the nature of the dynamical system.

Original languageEnglish
Title of host publication3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings
PublisherInternational Institute of Informatics and Systemics
Pages116-120
Number of pages5
ISBN (Print)9806560485, 9789806560482
Publication statusPublished - 1 Jan 2005
Event3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005 - Austin, TX
Duration: 24 Jul 200527 Jul 2005

Publication series

Name3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings
Volume3

Conference

Conference3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005
CountryUnited States
CityAustin, TX
Period24/07/0527/07/05

Fingerprint

Pendulums
Chaos theory
Dynamical systems

Scopus subject areas

  • Computer Networks and Communications
  • Control and Systems Engineering

Cite this

Iyyunni, C., Kunin, I., & Chernykh, G. (2005). Controlled Pendulum as an example of optimal chaos control. In 3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings (pp. 116-120). (3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings; Vol. 3). International Institute of Informatics and Systemics.
Iyyunni, Chakradhar ; Kunin, Isaak ; Chernykh, German. / Controlled Pendulum as an example of optimal chaos control. 3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings. International Institute of Informatics and Systemics, 2005. pp. 116-120 (3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings).
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Iyyunni, C, Kunin, I & Chernykh, G 2005, Controlled Pendulum as an example of optimal chaos control. in 3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings. 3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings, vol. 3, International Institute of Informatics and Systemics, pp. 116-120, Austin, TX, 24/07/05.

Controlled Pendulum as an example of optimal chaos control. / Iyyunni, Chakradhar; Kunin, Isaak; Chernykh, German.

3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings. International Institute of Informatics and Systemics, 2005. p. 116-120 (3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings; Vol. 3).

Research output

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T1 - Controlled Pendulum as an example of optimal chaos control

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AU - Chernykh, German

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AB - A more general class of dynamical systems called the Controlled Pendulum is introduced which in its specialization has both the Controlled Duffing and Lorenz models. We develop the system of equations for a general class of pendulum type systems. By introducing new observables we demonstrate that these models exhibit order in chaos. Finally, we use discrete methods to extract information about the nature of the dynamical system.

KW - Controlled Pendulum

KW - Discretization

KW - Dynamical Systems

KW - Lorenz

KW - Observables

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M3 - Conference contribution

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Iyyunni C, Kunin I, Chernykh G. Controlled Pendulum as an example of optimal chaos control. In 3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings. International Institute of Informatics and Systemics. 2005. p. 116-120. (3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings).