Linear/Nonlinear, time-variant/invariant systems

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Discussion Overview

The discussion revolves around methods for solving different types of systems in control theory, specifically Linear Time-variant, Linear Time-invariant, Non-Linear Time-variant, and Non-Linear Time-invariant systems. Participants are seeking concise mathematical concepts or methods applicable to these systems.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant requests brief answers regarding the mathematical concepts used to solve various system types, providing an example for Linear Time-invariant systems (Laplace transform and Z-transform).
  • Another participant notes that the questions are broad and may require more context or detail.
  • A later reply suggests that Non-linear systems can be approached using piece-wise or condition-wise methods, small-signal approximation, or simulation, indicating that traditional methods like Laplace or Fourier transforms may not suffice alone for non-linear analysis.

Areas of Agreement / Disagreement

Participants generally agree that the questions are broad and that different methods may apply to non-linear systems, but there is no consensus on specific answers for the other system types.

Contextual Notes

The discussion lacks specific definitions or assumptions regarding the types of systems mentioned, and the applicability of suggested methods may depend on the context of the problems being addressed.

pairofstrings
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Hi guys. I am super excited to know answers of the questions that I am going to write below and want you to give me only the gist or a superficial information on the concepts and hopefully I will find the rest of the matter by-myself.

Question 1: How do we solve Linear Time-variant systems?
Question 2: How do we solve Linear Time-invariant systems?
Question 3: How do we solve Non-Linear Time-variant systems?
Question 4: How do we solve Non-Linear Time-invariant systems?

I only know answer to the second question but I still want you guys to answer it for me.
(Answer is Laplace transform(continuous signals), Z-transform(discrete signals)).
Thank you for your time...
 
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These are very broad questions...
 
smk037 said:
These are very broad questions...

I don't want you to explain me the entire concepts. I only want one word answer. Like I answered my 'Question2'... I only want to know name of the maths concepts that will help me solve these systems. Like I answered 'Laplace transform and Z-transform' to my 'Question 2'. Likewise, can anyone answer my questions in a very terse manner. Just the name of the maths concept will do.. I tried looking on the internet but I got confused... Help please.
 
non-linear can be done with piece-wise/condition-wise, small-signal approximation, or with simulation

obviously laplace/fourier do not work alone in non-linear analysis.
 

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