Definition of The Equilibrium Point of A System
Let
be an arbitrary autonomous dynamical system with equilibrium point :
There always exists a coordinate transformation, such that:
So the new system has an equilibrium point at the origin.
Read more about this topic: Lyapunov Function
Famous quotes containing the words definition of, definition, equilibrium, point and/or system:
“Definition of a classic: a book everyone is assumed to have read and often thinks they have.”
—Alan Bennett (b. 1934)
“It is very hard to give a just definition of love. The most we can say of it is this: that in the soul, it is a desire to rule; in the spirit, it is a sympathy; and in the body, it is but a hidden and subtle desire to possessafter many mysterieswhat one loves.”
—François, Duc De La Rochefoucauld (16131680)
“That doctrine [of peace at any price] has done more mischief than any I can well recall that have been afloat in this country. It has occasioned more wars than any of the most ruthless conquerors. It has disturbed and nearly destroyed that political equilibrium so necessary to the liberties and the welfare of the world.”
—Benjamin Disraeli (18041881)
“The professional celebrity, male and female, is the crowning result of the star system of a society that makes a fetish of competition. In America, this system is carried to the point where a man who can knock a small white ball into a series of holes in the ground with more efficiency than anyone else thereby gains social access to the President of the United States.”
—C. Wright Mills (19161962)
“A heresy can spring only from a system that is in full vigor.”
—Eric Hoffer (19021983)