Comment on “Stabilization with guaranteed safety using Control Lyapunov–Barrier Function”

Philipp Braun; Christopher M. Kellett

doi:10.1016/j.automatica.2020.109225

Comment on “Stabilization with guaranteed safety using Control Lyapunov–Barrier Function”

Philipp Braun^*, Christopher M. Kellett

^*Corresponding author for this work

Research output: Contribution to journal › Letter › peer-review

16 Citations (SciVal)

Abstract

Recently, Romdlony and Jayawardhana (2016) proposed control Lyapunov–Barrier functions (CLBFs) for the stabilization of nonlinear control systems while avoiding a bounded set of unsafe states. We demonstrate that CLBFs used in Romdlony and Jayawardhana (2016, Prop. 3 and 5) cannot exist. Critically, this implies that the examples discussed in Romdlony and Jayawardhana (2016) do not satisfy the stated assumptions on CLBFs.

Original language	English
Article number	109225
Journal	Automatica
Volume	122
DOIs	https://doi.org/10.1016/j.automatica.2020.109225
Publication status	Published - Dec 2020

Access to Document

10.1016/j.automatica.2020.109225

Cite this

@article{95c7d60e7a07403a942f083a586da3c4,

title = "Comment on “Stabilization with guaranteed safety using Control Lyapunov–Barrier Function”",

abstract = "Recently, Romdlony and Jayawardhana (2016) proposed control Lyapunov–Barrier functions (CLBFs) for the stabilization of nonlinear control systems while avoiding a bounded set of unsafe states. We demonstrate that CLBFs used in Romdlony and Jayawardhana (2016, Prop. 3 and 5) cannot exist. Critically, this implies that the examples discussed in Romdlony and Jayawardhana (2016) do not satisfy the stated assumptions on CLBFs.",

author = "Philipp Braun and Kellett, {Christopher M.}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = dec,

doi = "10.1016/j.automatica.2020.109225",

language = "English",

volume = "122",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd.",

}

TY - JOUR

T1 - Comment on “Stabilization with guaranteed safety using Control Lyapunov–Barrier Function”

AU - Braun, Philipp

AU - Kellett, Christopher M.

PY - 2020/12

Y1 - 2020/12

N2 - Recently, Romdlony and Jayawardhana (2016) proposed control Lyapunov–Barrier functions (CLBFs) for the stabilization of nonlinear control systems while avoiding a bounded set of unsafe states. We demonstrate that CLBFs used in Romdlony and Jayawardhana (2016, Prop. 3 and 5) cannot exist. Critically, this implies that the examples discussed in Romdlony and Jayawardhana (2016) do not satisfy the stated assumptions on CLBFs.

AB - Recently, Romdlony and Jayawardhana (2016) proposed control Lyapunov–Barrier functions (CLBFs) for the stabilization of nonlinear control systems while avoiding a bounded set of unsafe states. We demonstrate that CLBFs used in Romdlony and Jayawardhana (2016, Prop. 3 and 5) cannot exist. Critically, this implies that the examples discussed in Romdlony and Jayawardhana (2016) do not satisfy the stated assumptions on CLBFs.

UR - http://www.scopus.com/inward/record.url?scp=85090593816&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2020.109225

DO - 10.1016/j.automatica.2020.109225

M3 - Letter

SN - 0005-1098

VL - 122

JO - Automatica

JF - Automatica

M1 - 109225

ER -

Comment on “Stabilization with guaranteed safety using Control Lyapunov–Barrier Function”

Abstract

Access to Document

Other files and links

Fingerprint

Cite this