Lyapunov Functions for Almost Sure Exponential Stability

DOI10.1007/978-3-319-96598-7_5zbMath1447.37054OpenAlexW2889144747MaRDI QIDQ3296537

Hjortur Bjornsson, Sigurður Freyr Hafstein

Publication date: 8 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-96598-7_5

zbMATH Keywords

Lyapunov functionexponentalmost sure exponential stability

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Global stability of solutions to ordinary differential equations (34D23) Stability theory for smooth dynamical systems (37C75) Stability theory for random and stochastic dynamical systems (37H30)

Cites Work

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• Experimental and numerical investigation of chaotic regions in the triple physical pendulum
• Almost sure exponential stability of numerical solutions for stochastic delay differential equations
• An experiment with swinging up a double pendulum using feedback control
• Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
• Stochastic differential equations. An introduction with applications.

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