Stability analysis for positive singular systems with distributed delays. (August 2018)

• Record Type: Journal Article
• Authors: Cui, Yukang; Shen, Jun; Chen, Yong
• Is Part Of: Automatica. Volume 94(2018)
• Page Start: 170
• Page End: 177
• Publication Date: 2018-08
• Subjects: Positive systems -- Distributed delays -- Time-varying systems -- System with time delays -- Descriptor system; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.04.026
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper is concerned with the stability analysis for continuous-time positive singular systems with distributed delays. By introducing an auxiliary system, a necessary and sufficient positivity condition is proposed for singular systems with distributed lags. Based on this condition, we present a sufficient stability condition for positive singular systems with distributed delays and extend the result to systems with distributed delays over a bounded time-varying interval. In addition, this stability condition is also necessary when strictly positive initial conditions are available. Numerical simulations are utilized to illustrate the effectiveness of our results.