Lyapunov Stability Theory

GPTKB entity

Statements (25)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo Nonlinear systems
Ordinary differential equations
Discrete-time systems
gptkbp:countryOfPublication gptkb:Russian
gptkbp:describes Stability of equilibrium points
gptkbp:field gptkb:Control_theory
Dynamical systems
gptkbp:hasConcept gptkb:Lyapunov_function
Stability
Asymptotic stability
Exponential stability
https://www.w3.org/2000/01/rdf-schema#label Lyapunov Stability Theory
gptkbp:introducedIn 1892
gptkbp:namedAfter gptkb:Aleksandr_Lyapunov
gptkbp:publishedIn The General Problem of the Stability of Motion
gptkbp:relatedTo Lyapunov exponent
LaSalle's invariance principle
Input-to-state stability
Lyapunov direct method
Lyapunov indirect method
gptkbp:usedFor Stability analysis
Control system design
gptkbp:bfsParent gptkb:Model_Reference_Adaptive_Control
gptkbp:bfsLayer 8