Classify the system if it's linear , non-linear , time variants or invariants [closed]

1. How do you know if a system is linear or time invariant?
2. How do you determine if a system is linear or nonlinear?
3. What are non-linear time invariant systems?
4. What is the classification of systems?

How do you know if a system is linear or time invariant?

One test to verify time invariance/variance property of a system is to shift the response of the system to an input signal and apply a shifted input, to the same system and compare the two waveforms, so obtained. If the system is time invariant, the two waveforms will match when the input and output shifts match.

How do you determine if a system is linear or nonlinear?

To determine if a system is linear, we need to answer the following question: When an input signal is applied to the system, does the output response exhibit homogeneity and additivity? If a system is both homogeneous and additive, it is a linear system.

What are non-linear time invariant systems?

If a nonlinearity does not undergo any changes with time, the system is nonlinear time-invariant (NTI). In control systems, nonlinearity is typically required of the certain shape and can even be synthesized.

What is the classification of systems?

System Classifications Summary

Systems can be continuous time, discrete time, or neither. They can be linear or nonlinear, time invariant or time varying, and stable or unstable. We can also divide them based on their causality properties.