Approximate solution of the optimal control problem for non-linear differential inclusion on the semi-axes

DOI10.1515/gmj-2023-2054zbMath1527.49004OpenAlexW4385197395MaRDI QIDQ6084459

Tetiana Zhuk, Iryna M. Tsyganivs'Ka, N. V. Kasimova

Publication date: 30 November 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2023-2054

zbMATH Keywords

optimal controlapproximate solutionaveraging methodnon-linear differential inclusion

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Cites Work

• Averaging method in some problems of optimal control
• Dynamics of solutions of a class of second-order autonomous evolution inclusions
• Robustness and averaging properties of a large-amplitude, high-frequency extremum seeking control scheme
• Approximate guaranteed mean square estimates of functionals on solutions of parabolic problems with fast oscillating coefficients under nonlinear observations
• Application of the averaging method to the problems of optimal control for ordinary differential equations on the semiaxis
• The Krasnosel'skii-Krein theorem for differential inclusions
• Integrals of set-valued functions
• Constructive Design of Adaptive Controllers for Nonlinear MIMO Systems With Arbitrary Switchings
• Optimal control problem for a differential inclusion with rapidly oscillating coefficients on the semiaxis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item