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

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.