10

Stability

English


10.1 CRITERIA OF STABILITY
Necessary and/or sufficient conditions for stability in the form of inequalities.
10.2 STABILITY
Ability of a {system}, {process}, {phenomenon} to keep its considered variables and parameters after perturbation within given limits during a given time.
10.3 STABILITY IN THE LARGE
Stability when perturbations lie within certain finite limits.
10.4 STABILITY IN THE SENSE OF LAGRANGE
Stability of a system when the difference between perturbed and unperturbed states remains limited at any time.
10.5 STABILITY IN THE SENSE OF LYAPUNOV
Stability under perturbations of initial conditions only of a system.
10.6 STABILITY OF A FORM
Asymptotic stability of an equilibrium form of an elastic system.
10.7 STABILITY OF A LIMIT CYCLE
Stability in the large of a limit cycle.
10.8 STABILITY OF MOTION
Stability under small perturbations of displacements and/or velocities only of a system.
10.9 STABILITY OF THE FIRST APPROXIMATION
Stability of a non-linear system investigated by means of a supplementary system obtained by linearization of the original system in a vicinity of its steady state.
10.10 STABILITY OF VIBRATION
Stability of motion in respect of amplitude of the steady-state vibration.
10.11 STABILITY, ABSOLUTE
Global stability of a non-linear system.
10.12 STABILITY, ASYMPTOTIC
Stability of a system that after perturbations returns to its original state after an infinite time.
10.13 STABILITY, BIBO
Stability of a control system under bounded input and bounded output.
10.14 STABILITY, DYNAMIC
Stability of the response under periodically variable or follower loading forces causing a parametric excitation of a system.
10.15 STABILITY, GLOBAL
Stability when perturbations of initial conditions of a system are arbitrary.
10.16 STABILITY, LOCAL [STABILITY OF A POSITION], [STABILITY IN THE SMALL]
Asymptotic stability regarding equilibrium of a system under small perturbations of its displacements and/or velocities.
10.17 STABILITY, ORBITAL [STABILITY IN THE SENSE OF POINCARÉ]
Stability under small perturbations of a phase trajectory of a system.
10.18 STABILITY, PRACTICAL
Stability under a continuous sequence of finite perturbations, when perturbed state of a system remains admissible at any time.
10.19 STABILITY, STOCHASTIC
Stability of a stochastic {deterministic} system under stochastic or deterministic {stochastic} perturbations.
10.20 STABILITY, STRUCTURAL
Stability when perturbations relate structural parameters or elements only of a system.
10.21 STABILITY, TECHNICAL
Stability under a sequence of finite perturbations, when the difference from the unperturbed state lies within given limits in a given finite interval of time.
10.22 STATE, PERTURBED
State of a dynamical system due to a perturbation.