Maximum principle for discrete-time control systems driven by fractional noises and related backward stochastic difference equations

Yuecai Han; Yuhang Li

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arXiv · 2412.16821

Maximum principle for discrete-time control systems driven by fractional noises and related backward stochastic difference equations

Yuecai Han·Yuhang Li

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Abstract

In this paper, the optimal control for discrete-time systems driven by fractional noises is studied. A stochastic maximum principle is obtained by introducing a backward stochastic difference equation contains both fractional noises and the constructed white noises. The solution of the backward stochastic difference equations is also investigated. As an application, the linear quadratic case is considered to illustrate the main results.

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Yuecai Han, Yuhang Li. 2024-12-22. Maximum principle for discrete-time control systems driven by fractional noises and related backward stochastic difference equations. https://arxiv.org/abs/2412.16821

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