English

Stability analysis of delay differential equations via Semidefinite programming

Optimization and Control 2017-01-03 v2

Abstract

This paper studies the problem of stability of a parameterized delay differential equations (DDE see equation (0.1)). After discretizing the DDE (0.1), we show that the problem can be equivalently casted into a semi-definite programming (SDP) see (3.2), which can be solved efficiently through some popular algorithm, e.g., the interior point method [1].

Keywords

Cite

@article{arxiv.1610.07308,
  title  = {Stability analysis of delay differential equations via Semidefinite programming},
  author = {Dongcai Su},
  journal= {arXiv preprint arXiv:1610.07308},
  year   = {2017}
}

Comments

add an illustrative example in section 2; fix an error in section 4; add reference [8]

R2 v1 2026-06-22T16:29:12.824Z