Convergence of sequences: A survey

Barbara Franci; Sergio Grammatico

doi:10.1016/j.arcontrol.2022.01.003

Convergence of sequences: A survey

Barbara Franci^*, Sergio Grammatico

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

6 Citations (Scopus)

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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.

Original language	English
Pages (from-to)	161-186
Journal	Annual Reviews in Control
Volume	53
DOIs	https://doi.org/10.1016/j.arcontrol.2022.01.003
Publication status	Published - 2022

Keywords

Convergence

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10.1016/j.arcontrol.2022.01.003

1-s2.0-S1367578822000037-mainFinal published version, 936 KBLicence: CC BY

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title = "Convergence of sequences: A survey",

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 F{\'e}jer monotonicity in the deterministic and stochastic settings, and we show how to exploit these results.",

keywords = "Convergence",

author = "Barbara Franci and Sergio Grammatico",

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T2 - A survey

AU - Franci, Barbara

AU - Grammatico, Sergio

PY - 2022

Y1 - 2022

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AB - 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.

KW - Convergence

UR - http://www.scopus.com/inward/record.url?scp=85125113330&partnerID=8YFLogxK

U2 - 10.1016/j.arcontrol.2022.01.003

DO - 10.1016/j.arcontrol.2022.01.003

M3 - Review article

AN - SCOPUS:85125113330

SN - 1367-5788

VL - 53

SP - 161

EP - 186

JO - Annual Reviews in Control

JF - Annual Reviews in Control

ER -

Convergence of sequences: A survey

Abstract

Keywords

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