Canonical forms for linear differential-algebraic equations with variable coefficients
A new set of local characterizing quantities for the treatment of linear time varying differential algebraic equations, \(E(t) x'(t)= A(t) x(t)+ f(t)\), are introduced and analyzed. These quantities are used to derive new global invariances which in turn lead to a generalization of the (global) differentiation index. New existence and uniqueness theorems are also derived. Numerical software based on this approach has recently become available.
linear time varying differential algebraic equations
scientific article; zbMATH DE number 770330
scientific article