请输入您要查询的字词:

 

单词 TimeInvariant
释义

time invariant


A dynamical systemMathworldPlanetmathPlanetmath is time-invariant if its generating formula is dependent on state only, and independent of time. A synonym for time-invariant is autonomousMathworldPlanetmath. The complement of time-invariant is time-varying (or nonautonomous).

For example, the continuous-time system x˙=f(x,t) is time-invariant if and only if f(x,t1)f(x,t2) for all valid states x and times t1 and t2. Thus x˙=sinx is time-invariant, while x˙=sinx1+t is time-varying.

Likewise, the discrete-time system x[n]=f[x,n] is time-invariant (also called shift-invariant) if and only if f[x,n1]f[x,n2] for all valid states x and time indices n1 and n2. Thus x[n]=2x[n-1] is time-invariant, while x[n]=2nx[n-1] is time-varying.

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/5 2:26:23