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Continuous state-space system

Preserves the `Continuous state-space system` governing equation used to interpret optimization for Control Systems.

Reference contract

FieldValueDescription
declaration{"description":"Dimension-checked continuous controller dynamics.","differentiability":"exact-ad","editor":null,"entityDimension":"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","readOnly":true,"section":"governing-equation"}

LaTeX, MathML, entity level, section, and differentiability are copied from the immutable physics declaration.

Authoritative source

Catalog
telion_backend.v2.catalog.PhysicsCatalog
Identity
PhysicsDeclaration/ctrl/governing-equation/Continuous state-space system
Path
src/telion_backend/v2/physics/specs.py
Symbol
GoverningEquationSpec