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arXiv · 2610.13451

An Optimal Control Approach to Finite-Time Stabilization of Linear Systems

W Weng·Y Chitour·P Mason
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Abstract

This paper presents a finite-time stabilization method for the integrator chain via optimal control techniques by introducing a tailored cost function. We analyze key properties of the resulting value function to derive the corresponding Hamilton-Jacobi-Bellman equation. Numerical simulations illustrate the effectiveness of the approach.

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W Weng, Y Chitour, P Mason. 2026-10-09. An Optimal Control Approach to Finite-Time Stabilization of Linear Systems. https://arxiv.org/abs/2610.13451

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