Difference between revisions of "Category:DAE model"
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If the model includes algebraic constraints and variables, for example from conversation laws, a problem will be categorized as a DAE model. The [[:Category:Model characterization|model equations]] for <math>F(\cdot)</math> will then include both differential equations and algebraic constraints that determine the algebraic states in dependence of the differential states and the controls. A more detailed classification includes the index of the algebraic equations. | If the model includes algebraic constraints and variables, for example from conversation laws, a problem will be categorized as a DAE model. The [[:Category:Model characterization|model equations]] for <math>F(\cdot)</math> will then include both differential equations and algebraic constraints that determine the algebraic states in dependence of the differential states and the controls. A more detailed classification includes the index of the algebraic equations. | ||
| + | |||
| + | == Extensions == | ||
| + | * The differential equations might depend on [[:Category:State dependent switches | state-dependent switches]]. | ||
| + | * The variables may include [[:Category:Boolean variables | boolean variables]]. | ||
| + | * The underlying process might be a [[:Category:Multistage process | multistage process]]. | ||
| + | * The dynamics might be [[:Category:Unstable | unstable]]. | ||
| + | * There might be an underlying [[:Category:Network topology | network topology]]. | ||
| + | * The integer control functions might have been (re)formulated by means of an [[:Category:Outer convexification|outer convexification]]. | ||
[[Category:Model characterization]] | [[Category:Model characterization]] | ||
Latest revision as of 13:04, 20 November 2010
This category contains all control problems for which the underlying mathematical model contains differential as well as algebraic variables.
If the model includes algebraic constraints and variables, for example from conversation laws, a problem will be categorized as a DAE model. The model equations for 
will then include both differential equations and algebraic constraints that determine the algebraic states in dependence of the differential states and the controls. A more detailed classification includes the index of the algebraic equations.
Extensions
- The differential equations might depend on state-dependent switches.
- The variables may include boolean variables.
- The underlying process might be a multistage process.
- The dynamics might be unstable.
- There might be an underlying network topology.
- The integer control functions might have been (re)formulated by means of an outer convexification.
Pages in category "DAE model"
The following 2 pages are in this category, out of 2 total.
