# Questions tagged [lti-system]

An LTI system is a Linear Time Invariant system which means the such a system has additive properties and no memory.

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### How to plot a pole in the s-plane if it has a repeated root?

Let's suppose I have a transfer function H(s) with a repeated pole: $$H(s) = \frac{1}{(s+2)^2}$$ What would that look like on a pole plot? Do you just circle the -2 on the real number line twice? ...
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### Definition of minimal phase

Let us consider a linear time-invariant system. The term minimum phase is used for a system that has stable poles and stable zeros. A system is called nonminimal phase if it is not minimum phase. ...
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### Is this system time variant?

I was reading out a book and it said to prove that $y(t) = sin (t) x(t-2)$ is time variant, so far of all the inputs I have tried, as well as the general input of giving a shift of T, the system ...
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### When did LTI systems become part of the EE curriculum? [closed]

When did universities start teaching the mathematics of LTI systems ("Signals and Systems") as part of the standard curriculum for electrical engineering majors?
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### Why non repeated poles at imaginary axis makes LTI system marginally stable?

I understand that stability for an LTI system is defined with respect to Bounded input bounded output condition. However I'm not clear on why non repeated poles on the imaginary axis makes the system ...
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### Determining Existence of Transfer Function H(s) and Fourier Transform H(w) for Non-LTI Systems?

Given that $$y(t) = \cos(2\pi t)x(t)$$ where $x(t)$ is a system input and $y(t)$ is the system's output, I need to determine whether an $H(s)/H(w)$ relation exists. Since this system is not LTI, ...
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### Is there any correlation between eigen functions and eigen vectors of an LTI system?

Eigen functions are the origin for Laplace transform while eigen vectors is for state space representation.Can we relate the eigen concept in these two? The complex exponential functions, are eigen ...
Given a system, it is possible to determine whether the system is LTI given the response to input to the system, other than the unit impulse? Specifically, my input to the system is x(t)=\begin{...