翻訳と辞書
Words near each other
・ Time-dependent viscosity
・ Time-division multiplexing
・ Time-domain harmonic scaling
・ Time-domain reflectometer
・ Time-domain reflectometry
・ Time-domain thermoreflectance
・ Time-driven priority
・ Time-driven programming
・ Time-driven switching
・ Time-evolving block decimation
・ Time-Flight
・ Time-Gate
・ Time-hopping
・ Time-inconsistent preferences
・ Time-inhomogeneous hidden Bernoulli model
Time-invariant system
・ TIME-ITEM
・ Time-Lag Records
・ Time-lapse embryo imaging
・ Time-lapse microscopy
・ Time-lapse monitoring
・ Time-lapse phonography
・ Time-lapse photography
・ Time-late
・ Time-Life Building
・ Time-Life Building (Chicago)
・ Time-Life Building (disambiguation)
・ Time-Life Television
・ Time-Line
・ Time-Megeve-Mont-Blanc


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Time-invariant system : ウィキペディア英語版
Time-invariant system
A time-invariant (TIV) system is a system whose output does not depend explicitly on time. Such systems are regarded as a class of systems in the field of system analysis. Lack of time dependence is captured in the following mathematical property of such a system:
:''If the input signal x(t) produces an output y(t) then any time shifted input, x(t + \delta), results in a time-shifted output y(t + \delta)''
This property can be satisfied if the transfer function of the system is not a function of time except expressed by the input and output.
In the context of a system schematic, this property can also be stated as follows:
:''If a system is time-invariant then the system block commutes with an arbitrary delay.''

If a time-invariant system is also linear, it is the subject of LTI system theory (linear time-invariant) with direct applications in NMR spectroscopy, seismology, circuits, signal processing, control theory, and other technical areas. Nonlinear time-invariant systems lack a comprehensive, governing theory. Discrete time-invariant systems are known as shift-invariant systems. Systems which lack the time-invariant property are studied as time-variant systems.
== Simple example ==

To demonstrate how to determine if a system is time-invariant, consider the two systems:
* System A: y(t) = t\, x(t)
* System B: y(t) = 10 x(t)
Since system A explicitly depends on ''t'' outside of x(t) and y(t), it is not time-invariant. System B, however, does not depend explicitly on ''t'' so it is time-invariant.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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