Robust stabilization for affine control systems in Banach spaces. Issue 1 (23rd March 2022)

• Record Type: Journal Article
• Authors: Benzaza, Abdelaziz; Brouri, Adil; Ouzahra, Mohamed
• Is Part Of: Asian journal of control. Volume 25:Issue 1(2023)
• Page Start: 497
• Page End: 508
• Publication Date: 2022-03-23
• Subjects: affine control system -- feedback stabilization -- robustness; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2789
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper is devoted to the investigation of feedback stabilization of affine control systems on real Banach spaces. Under an appropriate decomposition of the state space, we provide sufficient conditions for exponential stabilization of the system at hand. Furthermore, we show that the proposed feedback law remains a stabilizing control under some types of perturbations on the dynamic and the control operator. Finally, two illustrative examples are provided.