optimization-physics-equationAvailable
Sampled update and hold
Preserves the `Sampled update and hold` governing equation used to interpret optimization for Control Systems.
Reference contract
| Field | Value | Description |
|---|---|---|
| declaration | {"description":"Sampler, hold, delay, sampled PID, ADC, and DAC timing is owned by deterministic sample-period events.","differentiability":"exact-ad","editor":null,"entityDimension":"global","latex":"\\mathbf x_k=\\mathcal F(\\mathbf x_{k-1},\\mathbf u_k)\\ \\text{at events},\\quad\\mathbf x_k=\\mathbf x_{k-1}\\ \\text{otherwise}","mathml":"<math display=\"block\"><mrow><msub><mi>x</mi><mi>k</mi></msub><mo>=</mo><mi>F</mi><mo>(</mo><msub><mi>x</mi><mrow><mi>k</mi><mo>-</mo><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>u</mi><mi>k</mi></msub><mo>)</mo></mrow></math>","name":"Sampled update and hold","readOnly":true,"section":"governing-equation"} | — |
LaTeX, MathML, entity level, section, and differentiability are copied from the immutable physics declaration.