@article{Ji2025, 
author = {Wei Ji},
title = {On the equilibrium strategy of linear-quadratic time-inconsistent control problems},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {3},
pages = {5480-5494},
keywords = {equilibrium maximum principle, open-loop equilibrium strategy, time-inconsistent cost functional, linear-quadratic control problem},
url = {https://www.sciopen.com/article/10.3934/math.2025253},
doi = {10.3934/math.2025253},
abstract = {The paper investigates the open-loop equilibrium strategy for linear-quadratic time-inconsistent control problems. It derives an equilibrium maximum principle for this strategy and establishes the equivalence among the open-loop equilibrium strategy, two-point boundary value problems, and the equilibrium Riccati equation. Additionally, examples are provided to illustrate the essential differences among the open-loop equilibrium strategy, the closed-loop equilibrium strategy, and the optimal control.}
}