Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with time-varying distributed delays

Shuo Li and Zhengrong Xiang

Applied Mathematics and Computation, 2020, vol. 372, issue C

Abstract: This article analyzes the singular switched positive systems with time-varying distributed delays from the perspective of positivity, exponential stability and disturbance attenuation performance referring to both L1-gain and L∞-gain. For the system, a sufficient and necessary positivity condition is firstly developed by using the singular value decomposition technique. Then, a sufficient condition of exponential stability, which makes the considered system exponentially stable, is proposed on the basis of co-positive Lyapunov–Krasovskii functional and average dwell time techniques, and the obtained exponential decay rate can be adjusted in the light of various actual situations. Furthermore, the article analyzes the disturbance attenuation performance referring to both L1-gain and L∞-gain, and through the convex optimization approach, the optimal L1-gain and L∞-gain performance level could be established, respectively. Three examples are finally presented to show the feasibility and effectiveness of the obtained results.

Keywords: Singular switched positive systems; Time-varying distributed delays; Positivity; Exponential stability; Disturbance attenuation performance (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319309737
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:372:y:2020:i:c:s0096300319309737

DOI: 10.1016/j.amc.2019.124981

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().