Optimal Control Applications in the Study of Production Management
Keywords:
optimal control, automatic control, controllability, production management, Pontryagin Maximum Principle, Lie algebraAbstract
A mathematical model for an economic problem of production management is proposed. The continuous optimal control problem is solved, by using the Pontryagin Maximum Principle at the level of a new space, called Lie algebroid. The controllability of the economic system is studied by using Lie geometric methods and involves restrictions on the final stock quantities. Finally, a numerical application is given.References
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