Finite-Time Stabilization of Linear Systems via Optimal Control

Weihao Weng; Yacine Chitour; Paolo Mason

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arXiv · 2607.22191

Finite-Time Stabilization of Linear Systems via Optimal Control

Weihao Weng·Yacine Chitour·Paolo Mason

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Abstract

This paper presents an optimal control framework for achieving finite-time stabilization of linear systems. By introducing a suitably constructed integral cost function, we derive a new class of nonlinear controllers that guarantee finite-time stability through the application of the optimality principle. The relationship between the resulting optimal control law and the associated value function is analyzed, leading to the derivation of a Hamilton-Jacobi-Bellman (HJB) equation and the study of its regularity properties. Numerical simulations validate the theoretical findings and illustrate the effectiveness of the proposed method. Furthermore, a discussion on estimating the convergence time is provided.

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BibTeX RIS

Weihao Weng, Yacine Chitour, Paolo Mason. 2026-07-24. Finite-Time Stabilization of Linear Systems via Optimal Control. https://arxiv.org/abs/2607.22191

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