# test it for (i) linearity, (ii) time invariance, and (iii) homogeneity

34 次查看（过去 30 天）
Hello. Are there special commands in Matlab to test for (i) linearity, (ii) time invariance, and (iii) homogeneity of given equations?

### 回答（1 个）

Srivardhan 2023-6-22
Hi Ayesh,
As per my understanding, you would like to know whether there is any command or function in MATLAB to directly test homogeneity, linearity, and time invariance of differential equations.
In MATLAB, there are no inbuilt commands/functions to test homogeneity, linearity, and time invariance of differential equations. However, you can follow below steps to test the properties in MATLAB.
To Test Homogeneity:
· Generate the input signal.
· Apply differential equations to input and obtain the output.
· Multiply the input signal with constant.
· Apply differential equations to scaled input and obtain the output.
· Compare the original output and scaled outputs to check if they are related by same scaling factor.
To Test Time invariance:
· Generate the input signal.
· Apply differential equations to input and obtain the output.
· Shift the input signal in time.
· Apply differential equations to shifted input and obtain the output.
· Compare the original output and shifted outputs to see if they are related by time shift.
· Generate the input signal.
· Apply differential equations to input and obtain the output.
· Add a scalar to the input signal.
· Apply differential equations to new input and obtain the output.
· Compare the original output and new outputs to see if they differ by same scalar factor.
To Test Linearity:
· To test for linearity, check whether the equations satisfy the properties of additive and homogeneity.
I hope this helps!

### 类别

Help CenterFile Exchange 中查找有关 Hilbert and Walsh-Hadamard Transforms 的更多信息

### Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!