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Impulsive optimal control of hybrid systems based on adaptive dynamic programming

Authors
/persons/resource/sun.fenglan

Sun,  Fenglan
Potsdam Institute for Climate Impact Research;

Yang,  Xinwei
External Organizations;

Zhu,  Wei
External Organizations;

Guan,  Zhi-Hong
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Citation

Sun, F., Yang, X., Zhu, W., Guan, Z.-H., Kurths, J. (2026 online): Impulsive optimal control of hybrid systems based on adaptive dynamic programming. - Applied Mathematics and Computation, 533, 130274.
https://doi.org/10.1016/j.amc.2026.130274


Cite as: https://publications.pik-potsdam.de/pubman/item/item_35168
Abstract
This work investigates the impulsive optimal control problem for second-order hybrid systems that combines discrete dynamics with continuous dynamics based on adaptive dynamic programming. An impulsive optimal control protocol is proposed, and a parallel computation method is introduced to reduce computational time. Furthermore, a specialized mechanism is developed to adjust the selection tendency of impulsive intervals. Finally, an illustrative example is provided to demonstrate the feasibility of the proposed method.