English

Stability analysis of optimal control problems with time-dependent costs

Systems and Control 2023-08-28 v2 Systems and Control Optimization and Control

Abstract

We present stability conditions for deterministic time-varying nonlinear discrete-time systems whose inputs aim to minimize an infinite-horizon time-dependent cost. Global asymptotic and exponential stability properties for general attractors are established. This work covers and generalizes the related results on discounted optimal control problems to more general systems and cost functions.

Keywords

Cite

@article{arxiv.2210.07142,
  title  = {Stability analysis of optimal control problems with time-dependent costs},
  author = {Sifeddine Benahmed and Romain Postoyan and Mathieu Granzotto and Lucian Buşoniu and Jamal Daafouz and Dragan Nešić},
  journal= {arXiv preprint arXiv:2210.07142},
  year   = {2023}
}
R2 v1 2026-06-28T03:34:12.809Z