Optimal control for some classes of dynamic equations on the infinite interval of time scale

DOI10.1007/s10958-021-05300-xzbMath1465.37108OpenAlexW3136073400MaRDI QIDQ2663193

T. V. Koval'chuk, V. V. Mohyl'ova, O. E. Lavrova

Publication date: 16 April 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05300-x

zbMATH Keywords

optimal controlsinfinite interval of time scale

Mathematics Subject Classification ID

Dynamical systems in control (37N35)

Cites Work

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• Weak maximum principle and accessory problem for control problems on time scales
• A class of optimal control problems of systems governed by the first order linear dynamic equations on time scales
• Conditions for the existence of optimal control for some classes of differential equations on time scales
• Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
• Pontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales
• Pontryagin’s maximum principle for dynamic systems on time scales
• Addendum to Pontryagin’s maximum principle for dynamic systems on time scales

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