Pareto optimal control for mixed Neumann infinite-order parabolic system with state-control constraints
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چکیده
A distributed Pareto optimal control problem for an infinite order parabolic system is considered. The performance index has a vector form with two components in integral form. Constraints on controls and on states are imposed. To obtain optimality conditions for the Neumann problem, the generalization of the Dubovitskii–Milyutin theorem was applied. © 2014 The Authors. Production and hosting by Elsevier B.V. on behalf of Taibah University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/). MSC: 35K20; 49J20; 49K20; 93C20 h infinit
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AMO-Advanced Modeling and Optimization, Volume 9, Number 1, 2007, pp.37-51 Quadratic Pareto Optimal Control For Boundary Infinite Order Parabolic Equation With State-Control Constraints
A boundary Pareto optimal control problem for the parabolic operator with infinite order is considered. The performance index has an integral form. Constraints on controls and on states are imposed. To obtain optimality conditions for the Neumann problem, the generalization of the Dubovitskii-Milyutin Theorem given by Walczak in Refs.[33,34], was applied. AMS Subject Classification : 35K20, 49J...
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تاریخ انتشار 2015