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- Title
Absolute stability of Lurie systems with two additive time-varying delays.
- Authors
Zhang, Rui; Li, Junmin; Jiao, Jianmin
- Abstract
In this paper, the problem of absolute stability analysis for Lurie systems with two additive time-varying delays is considered. By constructing a suitable Lyapunov functional and using combined convex technique, new delay-dependent absolute stability criteria are derived to guarantee the absolute stability of the Lurie systems with non-linearity located in an infinite sector and a finite one. The obtained criteria are expressed as a set of linear matrix inequalities, which can be readily tested by using standard numerical software. Numerical examples are given to illustrate the effectiveness of the proposed stability criteria.
- Subjects
TIME delay systems; LYAPUNOV functions; LINEAR matrix inequalities; INVARIANTS (Mathematics); FEEDBACK control systems
- Publication
IMA Journal of Mathematical Control & Information, 2018, Vol 35, Issue 2, p555
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw064