Convergence of sequences
A survey
Barbara Franci (Maastricht University)
Sergio Grammatico (TU Delft - Team Sergio Grammatico, TU Delft - Team Bart De Schutter)
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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.
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