Lyapunov function

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo nonlinear systems
ordinary differential equations
discrete dynamical systems
gptkbp:characterizedBy stability of equilibrium points
gptkbp:field control theory
dynamical systems
gptkbp:generalizes energy function
https://www.w3.org/2000/01/rdf-schema#label Lyapunov function
gptkbp:introducedIn 1892
gptkbp:namedAfter gptkb:Aleksandr_Lyapunov
gptkbp:property positive definite
decreases along system trajectories
scalar function
gptkbp:relatedTo gptkb:Lyapunov_stability
gptkbp:usedFor stability analysis
gptkbp:bfsParent gptkb:Dynamical_Systems
gptkbp:bfsLayer 5