Multitime controlled linear PDE systems

Details Multitime controlled linear PDE systems Multitime controlled linear PDE systems

2011-12-31

arxiv.org/abs/1201.0256v1

Mathematics

Optimization and Control

31 pages

Scientific paper

We derive new results regarding the controllability and the reachability of multitime controlled linear PDE systems of first order. These systems describe some important multitime evolution in engineering, economics and biology. Some of them come from evolution PDEs of superior order. The original results include a refinement and a supplement of multitime optimal control theory, developed in some recent papers by the second author. They refer to the complete integrability conditions, conditions for the existence of solutions, path independent curvilinear integrals, the multitime fundamental matrix, multitime adjoint Cauchy problems, control space, controllability and reachability of phases, controllability gramian, reachability gramian, controllability matrix, counter-examples and commentaries.

Affiliated with

Also associated with

No associations

Rating

Multitime controlled linear PDE 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 Multitime controlled linear PDE systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multitime controlled linear PDE systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673305