Chaos and optimal control of a coupled dynamo with different time horizons

Awad El-Gohary and Rizk Yassen

Chaos, Solitons & Fractals, 2009, vol. 41, issue 2, 698-710

Abstract: The dynamo system, for acceptable parameter values, exhibits a chaotic behavior. The present paper discusses the problem of chaos, and optimal control of the dynamo system within finite and infinite time horizons. The optimal control inputs that ensure asymptotic stability of this system about its equilibrium states in both cases are obtained as functions of the phase state and time. Extensive numerical studies of both uncontrolled and controlled dynamo system are introduced.

Keywords: Disk dynamos system; Time horizon; Optimal control; Liapunov function; Attractors; Limits cycles (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:2:p:698-710

DOI: 10.1016/j.chaos.2008.03.001

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