physics-equationPreview
Continuous state-space system
Dimension-checked continuous controller dynamics.
Reference contract
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | global | — |
| latex | \dot{\mathbf x}=\mathbf A\mathbf x+\mathbf B\mathbf u,\quad\mathbf y=\mathbf C\mathbf x+\mathbf D\mathbf u | — |
| mathml | <math display="block"><mrow><mover><mi>x</mi><mo>.</mo></mover><mo>=</mo><mi>A</mi><mi>x</mi><mo>+</mo><mi>B</mi><mi>u</mi><mo>,</mo><mi>y</mi><mo>=</mo><mi>C</mi><mi>x</mi><mo>+</mo><mi>D</mi><mi>u</mi></mrow></math> | — |
| name | Continuous state-space system | — |
| section | governing-equation | — |
Dimension-checked continuous controller dynamics.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | global |
| latex | \dot{\mathbf x}=\mathbf A\mathbf x+\mathbf B\mathbf u,\quad\mathbf y=\mathbf C\mathbf x+\mathbf D\mathbf u |
| mathml | <math display="block"><mrow><mover><mi>x</mi><mo>.</mo></mover><mo>=</mo><mi>A</mi><mi>x</mi><mo>+</mo><mi>B</mi><mi>u</mi><mo>,</mo><mi>y</mi><mo>=</mo><mi>C</mi><mi>x</mi><mo>+</mo><mi>D</mi><mi>u</mi></mrow></math> |
| name | Continuous state-space system |
| section | governing-equation |