Adaptive control of Lipschitz time-delay systems by sigma modification with application to neuronal population dynamics

Orlowski, Jakub; Chaillet, Antoine; Destexhe, Alain; Sigalotti, Mario

doi:10.1016/j.sysconle.2021.105082

Search citation statements

Order By: Relevance

Paper Sections

Select...

Examples1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2024

Publication Types

Select...

Article5

Other1

Relationship

Self Cite2

Independent4

Authors

Journals

Cited by 7 publications

(1 citation statement)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The only difference with respect to (20) is the extra term −x 2 (t) 3 appearing in (28b). This term brings only non-positive terms in Driver's derivative of the function V defined in (21), meaning that (23) remains valid when f denotes the vector field in (28). For the same reason, (24) remains valid as well.…”

Section: Examplesmentioning

confidence: 98%

Growth Conditions for Global Exponential Stability and Exp-Iss of Time-Delay Systems Under Point-Wise Dissipation

Karafyllis¹,

Pepe²,

Wang³

et al. 2022

SSRN Journal

Self Cite

View full text Add to dashboard Cite

Section: Examplesmentioning

confidence: 98%

Growth Conditions for Global Exponential Stability and Exp-Iss of Time-Delay Systems Under Point-Wise Dissipation

Karafyllis¹,

Pepe²,

Wang³

et al. 2022

SSRN Journal

Self Cite

View full text Add to dashboard Cite

The ISS framework for time-delay systems: a survey

Chaillet

Karafyllis

Pepe

et al. 2023

Math. Control Signals Syst.

Self Cite

View full text Add to dashboard Cite

At the occasion of Eduardo D. Sontag's 70 th birthday, we provide here an overview of the tools available to study input-to-state stability (ISS) and related notions for time-delay systems. After a hopefully pedagogical presentation of the main differences with respect to the finite-dimensional theory, we review basic stability concepts for input-free time-delay systems, as well as instruments to guarantee them in practice, including the Lyapunov-Krasosvkii, Lyapunov-Razumikhin, and Halanay approaches. We then consider the influence of inputs through the notions of ISS, integral ISS, and input-to-output stability and provide both Lyapunov-like and solutions-based characterizations of these properties. We also show how these notions can be helpful for the stability analysis of interconnected systems, whether in cascade or in feedback form. We finally provide a list of questions which remain open until now.

show abstract

Tracking control of nonlinear systems actuated by saturated oscillatory force generator

Homaeinezhad

Gavari

2024

European Journal of Control

View full text Add to dashboard Cite

Adaptive control of Lipschitz time-delay systems by sigma modification with application to neuronal population dynamics

Cited by 7 publications

References 33 publications

Growth Conditions for Global Exponential Stability and Exp-Iss of Time-Delay Systems Under Point-Wise Dissipation

Growth Conditions for Global Exponential Stability and Exp-Iss of Time-Delay Systems Under Point-Wise Dissipation

The ISS framework for time-delay systems: a survey

Tracking control of nonlinear systems actuated by saturated oscillatory force generator

Contact Info

Product

Resources

About