Interval matrix differential equations

Details Interval matrix differential equations Interval matrix differential equations

2012-04-02

arxiv.org/abs/1204.0467v1

Mathematics

Classical Analysis and ODEs

Scientific paper

The matrix differential equation $x'(t) = Q(t)x(t), x(0) = x_0$ is considered in the case where $Q(t)$ is an unspecified matrix function of time, with the only constraint that $Q(t)\in \mset$ for every $t$, where $\mset$ is a prescribed closed and convex set of matrices. We provide the solution of the generalised equation by defining an exponential of a set of matrices. Although the defintion is not directly applicable to calculate the solutions, we provide an approximate method along with the estimation of maximal possible error. In particular, the method allows estimating continuous time imprecise Markov chains.

Affiliated with

Also associated with

No associations

Rating

Interval matrix differential equations 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 Interval matrix differential equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interval matrix differential equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-510366