systems.builtin.deterministic.continuous.AutonomousLinearSystem

systems.builtin.deterministic.continuous.AutonomousLinearSystem(*args, **kwargs)

Autonomous first-order linear system: dx/dt = -a*x

No control input (nu=0).

Parameters

Name	Type	Description	Default
a	float	Decay rate (positive = stable)	`1.0`

Examples

>>> system = AutonomousLinearSystem(a=1.0)
>>> system.nu
0
>>> dx = system(np.array([1.0]), u=None)  # -1*1 = -1

Methods

Name	Description
define_system	Define autonomous linear dynamics.

define_system

systems.builtin.deterministic.continuous.AutonomousLinearSystem.define_system(
    a=1.0,
)

Define autonomous linear dynamics.

# systems.builtin.deterministic.continuous.AutonomousLinearSystem { #cdesym.systems.builtin.deterministic.continuous.AutonomousLinearSystem }

```python
systems.builtin.deterministic.continuous.AutonomousLinearSystem(*args, **kwargs)
```

Autonomous first-order linear system: dx/dt = -a*x

No control input (nu=0).

## Parameters {.doc-section .doc-section-parameters}

| Name   | Type   | Description                    | Default   |
|--------|--------|--------------------------------|-----------|
| a      | float  | Decay rate (positive = stable) | `1.0`     |

## Examples {.doc-section .doc-section-examples}

```python
>>> system = AutonomousLinearSystem(a=1.0)
>>> system.nu
0
>>> dx = system(np.array([1.0]), u=None)  # -1*1 = -1
```

## Methods

| Name | Description |
| --- | --- |
| [define_system](#cdesym.systems.builtin.deterministic.continuous.AutonomousLinearSystem.define_system) | Define autonomous linear dynamics. |

### define_system { #cdesym.systems.builtin.deterministic.continuous.AutonomousLinearSystem.define_system }

```python
systems.builtin.deterministic.continuous.AutonomousLinearSystem.define_system(
    a=1.0,
)
```

Define autonomous linear dynamics.