Stability analysis from eigenvalues

Hi! I want to carry out small signal stability analysis around an operating point. I have got the linear operating point by LTI of my model, but I am not sure how I can carry out anaöysis to find stable and unstable limit of the model around that operating point with changing value of load or other parameter.

[Star Strider]

The eigenvalues of stable systems all have negative real parts.

I suspect you already know that.

[kavin]

A=[7 3 1; 3 6 2; 1 2 5] %to find stablibity of vechicle based on eigen value

[Sam Chak]

@kavin, Stability is a property of the system. It refers to the system's ability to return to an equilibrium state or maintain performance in the presence of disturbances. It is incorrect to say "find the stability of the system" as stability itself is not a numerical value like length, area, or volume.

What are the eigenvalues of the system? If you provide the MATLAB code here, we can determine the stability of the system.