how i can evaluate LTI system on matlab

how i can evaluate LTI system on matlab?? can anyone help me...how can i do this???

Answer 1

[Star Strider]

You will need the Control System Toolbox to evaluate it.

Answer 2

[Sam Chak]

Hi @Hamza Daud

If the Ordinary Differential Equation (ODE) of Linear Time-Invariant system (LTI system) is in state-space representation (matrix form)

then you can still evaluate the system stability by performing eigendecomposition of a matrix in MATLAB without the Control System Toolbox.

https://en.wikipedia.org/wiki/Eigendecomposition_of_a_matrix

https://www.mathworks.com/help/matlab/math/eigenvalues.html

If you solve the Initial Value Problem of the ODE using one of these solvers in MATLAB, ode45, ode23, ode78, ode89 and ode113, then it is also possible to find the following system response specifications:

• Peak time,
• Maximum overshoot,
• Settling time, and
• Steady-state value.

https://www.mathworks.com/help/matlab/ordinary-differential-equations.html

Of course, if you have the Control System Toolbox, then you have more options and flexibility to perform the desired evaluations.