Lattice operators underlying dynamic systems
Copyright policy )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.
- University of Paris France
- University of Paris France
- École des Ponts ParisTech France
morphological operators, complete lattice, invariance kernel map, viability kernel map, exit tube, reachable map, increasing set operators, General systems, Computing methodologies for image processing, differential equation, semi-continuity, [INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL], differential inclusion, Complete lattices, completions, Control/observation systems governed by ordinary differential equations, dynamic systems, Ordinary differential inclusions
morphological operators, complete lattice, invariance kernel map, viability kernel map, exit tube, reachable map, increasing set operators, General systems, Computing methodologies for image processing, differential equation, semi-continuity, [INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL], differential inclusion, Complete lattices, completions, Control/observation systems governed by ordinary differential equations, dynamic systems, Ordinary differential inclusions
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