In the theory of ordinary differential equations, Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions used to prove the stability of an equilibrium of an ODE. They are important to the stability theory of dynamical systems and to control theory, and a related concept appears in the theory of general state-space Markov chains under the name Foster-Lyapunov functions. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Lyapunov Function
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In the theory of ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the stability of an equilibrium of an ODE. Lyapunov functions (also called Lyapunov’s second method for stability) are important to stability theory of dynamical systems and control theory.
Principal Result Of: Aleksandr Lyapunov, Lead sentence of the article on the result
In the theory of ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the stability of an equilibrium of an ODE.
In Branch: Differential Equations, Lead sentence
In the theory of ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions
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