Control of bounded solutions for first-order singular differential equations with impulses. (18th November 2019)

• Record Type: Journal Article
• Authors: Kong, Fanchao; Nieto, Juan J
• Is Part Of: IMA journal of mathematical control and information. Volume 37:Number 3(2020)
• Page Start: 877
• Page End: 893
• Publication Date: 2019-11-18
• Subjects: controllability -- singular differential equation -- impulses -- Schaefer fixed-point theorem; Control theory -- Periodicals; 629.831205
• DOI: 10.1093/imamci/dnz033
• Languages: English
• ISSNs: 0265-0754

Abstract

Abstract: This paper is concerned with a kind of first-order singular differential system with impulses. Based on the Schaefer fixed-point theorem, some new verifiable algebraic criteria are given to ensure the controllability of bounded solutions for the considered system. The results obtained in this paper not only achieve the controllability of the singular differential system with impulses for the first time, but also complement the previous researches on singular differential system with impulses. Consequently, the results established are essentially new. Finally, the effectiveness of the obtained results are illustrated via a numerical example.