Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Ordinary differential equations
Discrete dynamical systems |
| gptkbp:criteria |
If all solutions starting close to an equilibrium remain close for all future times, the equilibrium is Lyapunov stable.
|
| gptkbp:describes |
Stability of equilibrium points
|
| gptkbp:field |
gptkb:Control_theory
Dynamical systems |
| gptkbp:generalizes |
Input-to-state stability
Practical stability Uniform stability |
| https://www.w3.org/2000/01/rdf-schema#label |
Lyapunov Stability
|
| gptkbp:introducedIn |
1892
|
| gptkbp:namedAfter |
gptkb:Aleksandr_Lyapunov
|
| gptkbp:relatedTo |
gptkb:Lyapunov_function
Asymptotic stability Exponential stability |
| gptkbp:usedIn |
gptkb:Mathematics
gptkb:Physics Engineering |
| gptkbp:bfsParent |
gptkb:Model_Reference_Adaptive_Control
gptkb:Stability_Theory_of_Differential_Equations |
| gptkbp:bfsLayer |
8
|