ISSN:
1573-8698
Keywords:
49J15
;
57N80
;
93B06
;
93C10
;
93C95
;
Optimal trajectory
;
cut-locus
;
synthesis
;
exceptional
;
stratification
;
generic
Source:
Springer Online Journal Archives 1860-2000
Topics:
Electrical Engineering, Measurement and Control Technology
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02465893
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