On parametrization of linear pseudo-differential boundary value control systems

Details On parametrization of linear pseudo-differential boundary value control systems On parametrization of linear pseudo-differential boundary value control systems

2007-04-17

arxiv.org/abs/0704.2104v1

Mathematics

Analysis of PDEs

Scientific paper

The paper considers pseudo-differential boundary value control systems. The underlying operators form an algebra D with the help of which we are able to formulate typical boundary value control problems. The symbolic calculus gives tools to form e.g. compositions, formal adjoints, generalized right or left inverses and compatibility conditions. By a parametrizability we mean that for a given control system Au=0 one finds an operator S such that Au=0 if and only if u=Sf. The computation rules of D (or its appropriate subalgebra D') guarantee that in many applications S can be refinely analyzed or even explicitly calculated. We outline some methods of homological algebra for the study of parametrization S. Especially the projectivity of a certain factor module (defined by the system equations) implies the parametrizability. We give some examples to illustrate our computational methods.

Affiliated with

Also associated with

No associations

Rating

On parametrization of linear pseudo-differential boundary value control systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On parametrization of linear pseudo-differential boundary value control systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On parametrization of linear pseudo-differential boundary value control systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-233557