On reachable set estimation of nonlinear singular systems with distributed delay. (28th June 2021)

• Record Type: Journal Article
• Authors: Zhang, Liang; Feng, Zhiguang; Wang, Ye; Wang, Shuqiang
• Is Part Of: International journal of adaptive control and signal processing. Volume 35:Number 10(2021)
• Page Start: 1958
• Page End: 1969
• Publication Date: 2021-06-28
• Subjects: distributed delay -- nonlinear term -- reachable set -- singular system; Adaptive control systems -- Periodicals; Adaptive signal processing -- Periodicals; 629.836
• DOI: 10.1002/acs.3295
• Languages: English
• ISSNs: 0890-6327

Abstract

Summary: The estimation of the reachable set for singular systems with distributed delay and nonlinear term under zero initial condition is studied in this article. Based on the Lyapunov functional with triple integrals, a sufficient condition for bounding the reachable set is established by combining the free‐weighting matrix method, the integral mean value theorem, and the new inequality scaling method. Then the reachable set of nonlinear singular system is bounded by the prescribed ellipsoids. Finally, two numerical examples and a practical example verify the validity of the theoretical analysis.