> For the complete documentation index, see [llms.txt](https://nelson-9.gitbook.io/nelson/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://nelson-9.gitbook.io/nelson/markdown/en/control_system/damp.md).

# damp

Natural frequency and damping ratio.

## 📝 Syntax

* \[wn, zeta] = damp(sys)
* \[wn, zeta, p, T] = damp(sys)

## 📥 Input argument

* sys - LTI model.

## 📤 Output argument

* wn - Natural frequency of each pole: vector.
* zeta - Damping ratio of each pole: vector.
* p - Poles of the dynamic system model: vector.
* T - Time Constant (seconds): vector.

## 📄 Description

The function damp(sys) provides the natural frequencies (wn) and damping ratios (zeta) associated with the poles of the system represented by sys.

## 💡 Example

```matlab
sys = tf([2, 5, 1], [1, 0, 2, -6]);
[wn, zeta, p, T] = damp(sys)

```

## 🔗 See also

[esort](/nelson/markdown/en/control_system/esort.md), [pole](/nelson/markdown/en/control_system/pole.md).

## 🕔 History

| Version | 📄 Description  |
| ------- | --------------- |
| 1.0.0   | initial version |