Lyapunov Function - Definition of A Lyapunov Candidate Function

Definition of A Lyapunov Candidate Function

Let

be a continuous scalar function.
is a Lyapunov-candidate-function if it is a locally positive-definite function, i.e.

with being a neighborhood region around

Read more about this topic:  Lyapunov Function

Famous quotes containing the words definition of a, definition of, definition, candidate and/or function:

    “Definition of a classic: a book everyone is assumed to have read and often thinks they have.”
    —Alan Bennett (b. 1934)

    “Although there is no universal agreement as to a definition of life, its biological manifestations are generally considered to be organization, metabolism, growth, irritability, adaptation, and reproduction.”
    —The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on “life” (based on wording in the First Edition, 1935)

    “The man who knows governments most completely is he who troubles himself least about a definition which shall give their essence. Enjoying an intimate acquaintance with all their particularities in turn, he would naturally regard an abstract conception in which these were unified as a thing more misleading than enlightening.”
    —William James (1842–1910)

    “We have fought too much rhetoric and red tape to be lulled and comforted by a paid political advertisement showing a candidate tossing his grandchild in the air while a disembodied voice espouses “family values” in the background.”
    —Bernice Weissbourd (20th century)

    “Our father has an even more important function than modeling manhood for us. He is also the authority to let us relax the requirements of the masculine model: if our father accepts us, then that declares us masculine enough to join the company of men. We, in effect, have our diploma in masculinity and can go on to develop other skills.”
    —Frank Pittman (20th century)