Completions of implicitly defined linear time varying vector fields
The stabilization of constraints through such techniques as Baumgarte stabilization has been used in the simulation community for some time. This and a number of control problems can be viewed as either extending, or modifying, a vector field of some manifold. Generally these approaches require the equations to have a special structure. Motivated by numerical simulation there has recently been new progress in doing this stabilization in numerically robust ways for larger classes of systems. In this paper it is point out how earlier linear time invariant results can not be immediately applied to the linear time varying case, the linear time varying case is analyzed.
methods for differential-algebraic equation
scientific article; zbMATH DE number 5603562