Lattice operators underlying dynamic systems (Q1915625)
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scientific article; zbMATH DE number 894251
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice operators underlying dynamic systems |
scientific article; zbMATH DE number 894251 |
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Lattice operators underlying dynamic systems (English)
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25 July 1996
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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.
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semi-continuity
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increasing set operators
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dynamic systems
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complete lattice
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differential equation
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differential inclusion
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reachable map
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exit tube
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viability kernel map
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invariance kernel map
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morphological operators
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