asymptote

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Related to asymptotical: Asymptotic curve

asymptote

a straight line that is closely approached by a plane curve so that the perpendicular distance between them decreases to zero as the distance from the origin increases to infinity

asymptote

[′as·əm‚tōt]
(mathematics)
A line approached by a curve in the limit as the curve approaches infinity.
The limit of the tangents to a curve as the point of contact approaches infinity.
References in periodicals archive ?
Furthermore, in our approach, the case in which [pi]/2 < [theta] < [pi] or [[alpha].sub.n] - [alpha] < 1 can occur, Theorem 18 is applicable in the qualitative analysis of fractional relaxation multiterm differential inclusions (but not in the analysis of generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions; see (53)).
derive a sufficient condition for the robust asymptotical stabilization of uncertain descriptor fractional-order systems with the fractional-order a satisfying 1 [less than or equal to] [alpha] < 2 in terms of LMIs.
In (33), [V.sub.2]([z.sub.2]) is a CLF for [z.sub.2] subsystem and [u.sub.temp2] ([[bar.y].sup.(2).sub.r], [[bar.x].sub.2], [[bar.[??]].sup.(1)]) is an arbitrary asymptotical stabilizer.
Although we can prove the global asymptotical stability of [E.sub.1], we would not want this to happen, because the global asymptotical stability means the therapy does not have any effect.
Firstly, a sufficient condition for asymptotical stability and H [?] disturbance attenuation performance of the system under consideration is developed by using the multiple Lyapunov functional method while the saturation behavior is described by the convex hull.
If the basic reproductive number greater than one, local asymptotical the endemic equilibrium is stable.
As far as the processes usually are nonlinear, there are few analytical solutions and the asymptotical and numerical methods should be elaborated.
Asymptotical behaviour of roots of infinite Coxeter groups.
Their derivations generally assume monotonicity, continuity and asymptotical behavior of the item response function, plus general criteria or additional requirements like local stochastic independence, sufficiency of statistics, conditional inference or specific objectivity.
Furthermore, a sufficient condition for asymptotical stability of WSNCS is derived based on Lyapunov method combined with linear matrix inequalities (LMI) approach.

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