Convergence of sequences: A survey. (2022)

• Record Type: Journal Article
• Authors: Franci, Barbara; Grammatico, Sergio
• Is Part Of: Annual reviews in control. Volume 53(2022)
• Page Start: 161
• Page End: 186
• Publication Date: 2022
• Subjects: Convergence; Automatic control -- Periodicals; Periodicals; 629.805
• DOI: 10.1016/j.arcontrol.2022.01.003
• Languages: English
• ISSNs: 1367-5788

Abstract

Abstract: Convergent sequences of real numbers play a fundamental role in many different problems in system theory, e.g., in Lyapunov stability analysis, as well as in optimization theory and computational game theory. In this survey, we provide an overview of the literature on convergence theorems and their connection with Féjer monotonicity in the deterministic and stochastic settings, and we show how to exploit these results.