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(PDF Archived 2019-04-30 at the Wayback Machine) Barbashin, E. A.; Nikolai N. Krasovskii (1952). Об устойчивости движения в целом [On the stability of motion as a whole]. Doklady Akademii Nauk SSSR (in Russian). 86: 453– 456. Krasovskii, N. N. Problems of the Theory of Stability of Motion, (Russian), 1959. English ...
The mathematical theory of stability of motion, founded by A. M. Lyapunov, considerably anticipated the time for its implementation in science and technology. Moreover Lyapunov did not himself make application in this field, his own interest being in the stability of rotating fluid masses with astronomical application.
Limits of Stability (LoS) is a significant variable in assessing stability and voluntary motor control [6] in dynamic states. [7] It provides valuable information by tracking the instantaneous change in the center of mass (COM) velocity and position. [7]
In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation , for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature ...
This subject was proposed to Lyapunov by Chebyshev as a topic for his masters thesis which he submitted in 1884 with the title On the stability of ellipsoidal forms of rotating fluids. The main contribution was published in the celebrated monograph 'A.M. Lyapunov, The general problem of the stability of motion. 1892.
Directional stability, the tendency for a body moving with respect to a medium to point in the direction of motion; Elastic stability, the resistance of a structural member to buckling; Flight dynamics, including longitudinal stability; Nyquist stability criterion, defining the limits of stability for pole-zero analysis in control systems
In the physical science of dynamics, rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces.The assumption that the bodies are rigid (i.e. they do not deform under the action of applied forces) simplifies analysis, by reducing the parameters that describe the configuration of the system to the translation and rotation of reference ...
Static stability: minimum distance from the center of mass (COM) to any edge of the support polygon created by the legs in stance for each moment in time. [13] A walking animal is statically stable if there are enough legs to form the support polygon (i.e. 3 or more) and the COM is within the support polygon.