Evolutionary Search for Polynomial Lyapunov Functions: A Genetic Programming Method for Exponential Stability Certification

Evolutionary Search for Polynomial Lyapunov Functions: A Genetic Programming Method for Exponential Stability Certification

This paper presents a method for constructing polynomial Lyapunov functions to analyze the stability of nonlinear dynamical systems. The approach is based on genetic programming, a variant of genetic algorithms where the search space consists of hierarchical tree structures. In our formulation, thes...

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Bibliographic Details
Main Authors: Roman Pykhnivskyi, Anton Ryzhov, Andrii Sobchuk, Yurii Kravchenko
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Axioms
Subjects:
nonlinear dynamics
stability
Lyapunov functions
numerical methods
genetic programming
Online Access:https://www.mdpi.com/2075-1680/14/5/343
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