Lattice operators underlying dynamic systems
The authors describe algebraic and continuity properties of increasing set operators underlying dynamic systems. By an operator, they mean a mapping of a complete lattice into itself. The authors investigate set operators defined on a complete lattice induced by a differential equation or differential inclusion, namely, the reachable map, the exit tube, the viability kernel map and the invariance kernel map. Some results are applied to morphological operators.
scientific article; zbMATH DE number 894251
scientific article