optimization-physics-equationAvailable
Nonlinear small-signal linearization
Preserves the `Nonlinear small-signal linearization` governing equation used to interpret optimization for Electrical Circuit.
Reference contract
| Field | Value | Description |
|---|---|---|
| declaration | {"description":"Diodes and smooth switches require an explicit complete MNA operating point. Their incremental conductance and switch control transconductance are stamped exactly.","differentiability":"exact-ad","editor":null,"entityDimension":"global","latex":"\\left(\\frac{\\partial\\mathbf g}{\\partial\\mathbf x}\\bigg|_{\\mathbf x_0}+i\\omega\\mathbf C\\right)\\widehat{\\mathbf x}=-\\frac{\\partial\\mathbf g}{\\partial\\mathbf u}\\bigg|_{\\mathbf x_0}\\widehat{\\mathbf u}","mathml":"<math display=\"block\"><mrow><mo>(</mo><msub><mi>g</mi><mi>x</mi></msub><mo>(</mo><msub><mi>x</mi><mn>0</mn></msub><mo>)</mo><mo>+</mo><mi>i</mi><mi>omega</mi><mi>C</mi><mo>)</mo><mover><mi>x</mi><mo>^</mo></mover><mo>=</mo><mo>-</mo><msub><mi>g</mi><mi>u</mi></msub><mo>(</mo><msub><mi>x</mi><mn>0</mn></msub><mo>)</mo><mover><mi>u</mi><mo>^</mo></mover></mrow></math>","name":"Nonlinear small-signal linearization","readOnly":true,"section":"governing-equation"} | — |
LaTeX, MathML, entity level, section, and differentiability are copied from the immutable physics declaration.