A new approach for determining multi-objective optimal control of semilinear parabolic problems

  • H. AlimoradEmail author


In this paper, two approaches based on evolutionary algorithms are applied to solve a multi-objective optimal control problem governed by semilinear parabolic partial differential equations. In this approach, first, we change the problem into a measure-theoretical one, replace this with an equivalent infinite dimensional multi-objective nonlinear programming problem and apply approximating schemes. Finally, non-dominated sorting genetic algorithm and multi-objective particle swarm optimization are employed to obtain Pareto optimal solutions of the problem. Numerical examples are presented to show the efficiency of the given approach.


Multi-objective optimal control problem Pareto solution Evolutionary algorithm Radon measure 

Mathematics Subject Classification

90C29 49M27 



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© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2019

Authors and Affiliations

  1. 1.Department of MathematicsJahrom UniversityJahromIran

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