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Home  >  Volume 45

11. EXTERIOR PENALTY FUNCTION METHODS FOR OPTIMAL CONTROL PROBLEMS CONSTRAINED BY ORDINARY DIFFERENTIAL EQUATIONS by Olotu O., Lawal O.F. and Afolabi A. S.Volume 45 (March, 2018), pp67 – 78
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Abstract

This paper considers the general continuous optimal control problems constrained by differential constraints. Discretization of the objective function and constraint were carried out using the Simpson's Rule and Adams-Bashforth explicit method respectively. Exterior penalty function method was applied to obtain associated unconstrained problems and constrained operators. With this formulation, the Conjugate Gradient Method is then used to solve the resulting non-linear programming problem. two Optimal Control Problems constrained by Ordinary Differential Equations are solved using the proposed scheme. the results show that the scheme is very effective and efficient. The convergence analysis shows that the scheme is super linearly convergent 

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