Time-invariant

Time-invariant

Time-invariant refers to a system that remains constant and does not change with time, regardless of the universal time. In the context of linear systems, time-invariant systems are described by differential equations with constant coefficients. A system that does change with time is considered time-varying or time-variant.From: Principles of Speech Coding [2019], A MATLAB-based modelling and simulation package for DPS-QKD [2022], Nonlinear Control Systems [2003], Comprehensive Dictionary of Electrical Engineering [2018]

Force-System Resultants and Equilibrium

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Published in Richard C. Dorf, The Engineering Handbook, 2018

Russell C. Hibbeler

Time-invariant system - A system whose properties do not change with time. When expressed in terms of the impulse response of a time-invariant linear system, this means that the impulse response is a function of a single variable, because the unit impulse function that is applied to give the impulse response can be applied at time zero.

Properties of Nonlinear Systems

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Published in Zoran Vukiæ, Ljubomir Kuljaèa, Dali Donlagiæ, Sejid Tešnjak, Nonlinear Control Systems, 2003

Zoran Vukiæ, Ljubomir Kuljaèa, Dali Donlagiæ, Sejid Tešnjak

Among the linear time-invariant systems, of special interest are the systems whose dynamic behavior is described by differential equations with constant coefficients. Such systems are unique since they are covered by a general mathematical theory.

A MATLAB-based modelling and simulation package for DPS-QKD

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Published in Journal of Modern Optics, 2022

Anuj Sethia, Anindita Banerjee

More broadly, QKD protocols are classified as dynamic, time-invariant, nonlinear processes [7]. The dynamic nature is due to the dependence of output over input signals. Although the system behaviour changes with time, it is invariant to the universal time; thus, it is considered as time-invariant. Nonlinearity arises from the various complex physical components and processes. A QKD protocol architecture is divided among five discrete parts: (a) source, (b) preparation, (c) transmission, (d) detection, and (e) post-processing. This particular order of events results in a systematic flow of signals in the discrete-event-based environment.

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Force-System Resultants and Equilibrium

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A MATLAB-based modelling and simulation package for DPS-QKD