An Overview of Stability Analysis of Systems with Delay Dependent Coefficients

Chi Jin (1, 2) , Islam Boussaada (3, 1, 2) , Silviu-Iulian Niculescu (3, 1) , Keqin Gu (4)

1 L2S - Laboratoire des signaux et systèmes
2 IPSA - Institut Polytechnique des Sciences Avancées
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
4 SIUE - Southern Illinois University [Edwardsville]

This paper overviews the literature pertaining to the stability analysis of systems with delay-dependent coefficients, which can arise from various scientific and engineering applications. Research on Stability analysis for systems with a single delay is first reviewed, followed by a discussion of some techniques also applicable to the multiple-delay case. We attempt to provide the main ideas of various stability analysis methods, the insight gained from them as well as their specific advantages and limitations. Potential directions for future research are suggested.

Domains: Engineering Sciences [physics]; Automatic; Mathematics [math]; Dynamical Systems [math.DS]

Chi Jin, Islam Boussaada, Silviu-Iulian Niculescu, Keqin Gu. An Overview of Stability Analysis of Systems with Delay Dependent Coefficients. 21st International Conference on System Theory, Control and Computing (ICSTCC 2017), Oct 2017, Sinaia, Romania. ⟨10.1109/icstcc.2017.8107072⟩. ⟨hal-01658201⟩