Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 54 min ago
PreprintarXiv licencearXiv

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

  • W Weng
  • Y Chitour
  • P Mason
Open at sourcePDFDOICite

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.

Related

  1. Control, stability, and stabilization of some classes of linear time-delay systems
    Guilherme Mazanti
    arXivPreprintCC BY-NC-ND 4.0Full textDynamical systemsOptimisation & controlarXiv
  2. Feedback Stabilization for Sampled Linear Systems with Control-linear Noise
    Cynthia Cheng, Xudong Chen
    arXivPreprintarXiv licenceFull textOptimisation & controlarXiv
  3. Sampled-data optimal control of linear fractional-order systems
    Pantelis Sopasakis
    arXivPreprintarXiv licenceFull textOptimisation & controlarXiv
  4. Mutual Information Optimal Density Control of Linear Systems and Generalized Schrödinger Bridges with Reference Refinement
    Shoju Enami, Kenji Kashima
    arXivPreprintarXiv licenceFull textOptimisation & controlarXiv
  5. On the Asymptotic Switching Density in Time-Optimal Control of Linear Systems
    Omri Dalin, Alexander Ovseevich, Michael Margaliot
    arXivPreprintCC BY 4.0Full textOptimisation & controlarXiv

Cite

BibTeXRIS
BibTeX
@misc{weng2026optimal,
  title = {{An Optimal Control Approach to Finite-Time Stabilization of Linear Systems}},
  author = {W Weng and Y Chitour and P Mason},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13451},
  eprint = {2610.13451},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13451},
}
RIS
TY  - UNPB
TI  - An Optimal Control Approach to Finite-Time Stabilization of Linear Systems
AU  - W Weng
AU  - Y Chitour
AU  - P Mason
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13451
UR  - https://arxiv.org/abs/2610.13451
AB  - 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.
ER  -