Published on Thu Aug 26 2021

Reachable sets of differential inclusions: New DI solver, parallel version, interdisciplinary applications.

Stanislaw Raczynski

The new version of the differential inclusion solver is presented. The solver calculates the reachable sets of differential inclusions. A new concept of functional sensitivity is proposed.

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Abstract

The new version of the differential inclusion solver is presented. The solver calculates the reachable sets of differential inclusions. The new features are discussed, compared to the original version published in 2002. A short overview of differential inclusions and their relation to control systems is given. The new, parallel algorithm of the solver is presented. The concept of functional sensitivity is discussed, and the applications of the differential inclusion solver are discussed.•The new, parallel version of the algorithm for reachable set calculation is described.•Uncertainty treatment by differential inclusions is discussed.•A new concept of functional sensitivity is proposed.