# asymptote

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Related to asymptotically: Asymptotically stable

## 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 ?
In considered situations we receive asymptotically stable system.
To overcome this difficulty, we search for an approximate solution to (3.3) which is asymptotically accurate.
In Section 2, we present the basic information about Stepanov and Weyl generalizations of asymptotically almost periodic functions and asymptotically almost automorphic functions (Proposition 4 is the only new contribution in this section).
Hence, for [R.sup.*.sub.1] < [R.sup.thr.sub.1], system (1) will present only the locally asymptotically stable low-criminality equilibrium [P.sub.l].
Hence, if [R.sub.0] > 1 [P.sup.*] is globally asymptotically stable in [R.sup.2.sub.+].
The zero solution of system (22) is said to be asymptotically stable if [parallel]]]x(t)[parallel]]] [right arrow] 0, as t [right arrow] [infinity].
Zhou, "Asymptotically almost periodicity for a class of Weyl-Liouville fractional evolution equations," Mediterranean Journal of Mathematics, vol.
We recall that E is locally asymptotically stable if the all eigenvalues [[xi].sub.i] of (40) satisfy the following condition [53-55]:
and we say that the response system can be globally asymptotically synchronized with the drive system if the zero solution of error system is globally asymptotically stable.
The main difference between AdS space-time and asymptotically flat space-time is the famous Hawking-Page phase transition [1]; that is, the AdS background provides a natural constraint box, which makes it possible to form a thermal equilibrium between large stable black hole and hot gas.
Then employing Lyapunov-Krasovskii functional and free-weighting matrices, a BRL will be derived in terms of LMIs such that a class of time-delay system is guaranteed to be globally asymptotically stable with the desired [H.sub.[infinity]] performance index.

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