Stability Theory - Lyapunov Function For General Dynamical Systems

Lyapunov Function For General Dynamical Systems

A general way to establish Lyapunov stability or asymptotic stability of a dynamical system is by means of Lyapunov functions.

Read more about this topic:  Stability Theory

Famous quotes containing the words function, general and/or systems:

    The function of muscle is to pull and not to push, except in the case of the genitals and the tongue.
    Leonardo Da Vinci (1425–1519)

    We ought, says Kant, to become acquainted with the instrument, before we undertake the work for which it is to be employed; for if the instrument be insufficient, all our trouble will be spent in vain. The plausibility of this suggestion has won for it general assent and admiration.... But the examination can be only carried out by an act of knowledge. To examine this so-called instrument is the same as to know it.
    Georg Wilhelm Friedrich Hegel (1770–1831)

    Our little systems have their day;
    They have their day and cease to be:
    They are but broken lights of thee,
    And thou, O Lord, art more than they.
    Alfred Tennyson (1809–1892)