Archivio Istituzionale della RicercaConvergent 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.
Convergence of sequences: A survey / Franci, Barbara; Grammatico, Sergio. - In: ANNUAL REVIEWS IN CONTROL. - ISSN 1367-5788. - 53:(2022), pp. 161-186. [10.1016/j.arcontrol.2022.01.003]
Convergence of sequences: A survey
Franci, Barbara;
2022
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.
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https://hdl.handle.net/11583/3003592
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