6533b7d3fe1ef96bd126122b
RESEARCH PRODUCT
The generic local structure of time-optimal synthesis with a target of codimension one in dimension greater than two
M. PelletierG. Launaysubject
Numerical AnalysisControl and OptimizationAlgebra and Number TheorySubvarietyDifferential equationMathematical analysisDimension (graph theory)TangentCodimensionTime optimalLocal structureCombinatoricsControl and Systems EngineeringVector fieldMathematicsdescription
In previous papers, we gave in dimension 2 and 3 a classification of generic synthesis of analytic systems\(\dot v(t) = X(v(t)) + u(t)Y(v(t))\) with a terminal submanifoldN of codimension one when the trajectories are not tangent toN. We complete here this classification in all generic cases in dimension 3, giving a topological classification and a model in each case. We prove also that in dimensionn≥3, out of a subvariety ofN of codimension there, we have described all the local synthesis.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-06-01 | Journal of Dynamical and Control Systems |