Differential Algebraic Equation - Other Forms of DAEs

Other Forms of DAEs

The distinction of DAEs to ODEs becomes apparent if some of the dependent variables occur without their derivatives. The vector of dependent variables may then be written as pair and the system of differential equations of the DAE appears in the form

where

• , a vector in, are dependent variables for which derivatives are present (differential variables),
• , a vector in, are dependent variables for which no derivatives are present (algebraic variables),
• , a scalar (usually time) is an independent variable.
• is a vector of functions that involve subsets these variables and derivatives.

As a whole, the set of DAEs is a function

Initial conditions must be a solution of the system of equations of the form