Advanced controller design for uncertain linear systems with
time-varying delays via augmented zero equality approach
- YongGwon Lee,
- Youngjae Kim,
- Seungho Kim,
- Seunghoon Lee,
- Myeongjin Park,
- O. M. Kwon
Abstract
This paper deals with the stability analysis and controller design for
linear systems with time-varying delays and parameter uncertainties. By
choosing appropriate augmented Lyapunov-Krasovskii functionals, a set of
Linear Matrix inequalities is derived to get advanced feasible region of
stability, and controller gain matrices which guarantee the asymptotic
stability of the concerned systems within maximum bound of time-delays
and its time-derivative. To further reduce the conservatism of
stabilization criterion a recently developed mathematical technique
which constructed a new augmented zero equality is applied. Finally, two
numerical examples are utilized to show the validity and superiority of
the proposed methods.23 May 2021Submitted to Mathematical Methods in the Applied Sciences 24 May 2021Submission Checks Completed
24 May 2021Assigned to Editor
01 Jun 2021Reviewer(s) Assigned
08 Sep 2021Review(s) Completed, Editorial Evaluation Pending
02 Oct 2021Editorial Decision: Revise Major
08 Dec 20211st Revision Received
09 Dec 2021Submission Checks Completed
09 Dec 2021Assigned to Editor
15 Dec 2021Reviewer(s) Assigned
23 Dec 2021Review(s) Completed, Editorial Evaluation Pending
31 Dec 2021Editorial Decision: Revise Minor
04 Jan 20222nd Revision Received
05 Jan 2022Submission Checks Completed
05 Jan 2022Assigned to Editor
15 Jan 2022Reviewer(s) Assigned
16 Jan 2022Review(s) Completed, Editorial Evaluation Pending
31 Jan 2022Editorial Decision: Revise Minor
25 Feb 20223rd Revision Received
01 Mar 2022Assigned to Editor
01 Mar 2022Submission Checks Completed
03 Mar 2022Reviewer(s) Assigned
03 Mar 2022Review(s) Completed, Editorial Evaluation Pending
05 Mar 2022Editorial Decision: Accept
03 Sep 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8660 
