Gorban N.V., Kapustian O.A., Kapustyan O.V.
Approximate optimal controller for a weakly nonlinear evolutionary equation of parabolic type

We consider the optimal control problem for solutions of the parabolic equation with the right-hand side of the form ε F (y), where ε > 0 is a small parameter, with the coercive objective functional and bounded control. We use the formula of the optimal controller of the unperturbed problem and substantiate the form of the approximate controller with switching for the original problem. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: nonlinear parabolic equation, optimal control, optimal controller, Controllers, Nonlinear equations, Partial differential equations, Bounded controls, Functional control, Nonlinear evolutionary equations, Nonlinear parabolic equations, Optimal control problem, Optimal controller, Optimal controls, Parabolics, Weakly non-linear, Optimal control systems

Cite:
Gorban N.V., Kapustian O.A., Kapustyan O.V. (2021). Approximate optimal controller for a weakly nonlinear evolutionary equation of parabolic type. Cybernetics and Systems Analysis, 57 (6), 46–52. doi: https://doi.org/10.1007/s10559-021-00414-1 http://jnas.nbuv.gov.ua/article/UJRN-0001284187 [In Ukrainian].