Abstract
The first order sensitivity analysis is performed for a class of optimal control problems for time lag parabolic equations in which retarded arguments appear in the integral form with h ∈ (0, b) in the state equations and with k ∈ (0, c) in the Neumann boundary conditions. The optimality system is analyzed with the respect to a small parameter. The directional derivative of the optimal control is obtained as a solution to an auxiliary optimization problem. The control constraints for the auxilary optimization problem are received.
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Acknowledgements
The research presented here was carried out within the research programme AGH University of Science and Technology, No. 11.11.120.396.
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Kowalewski, A., Emirsajłow, Z., Sokołowski, J., Krakowiak, A. (2017). Sensitivity Analysis of Optimal Control Parabolic Systems with Retardations. In: Mitkowski, W., Kacprzyk, J., Oprzędkiewicz, K., Skruch, P. (eds) Trends in Advanced Intelligent Control, Optimization and Automation. KKA 2017. Advances in Intelligent Systems and Computing, vol 577. Springer, Cham. https://doi.org/10.1007/978-3-319-60699-6_11
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DOI: https://doi.org/10.1007/978-3-319-60699-6_11
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