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High-order variations and small-time local attainability

Krastanov M. I.

Control and Cybernetics

2009

Vol. 38, no 4B

1411-1427

We study the problem of small-time local attainability (STLA) of a closed set. For doing this, we introduce a new concept of variations of the reachable set, well adapted to a given closed set and prove a new attainability result.

A sufficient condition for small-time local attainability of a set

Krastanov M.

Control and Cybernetics

2002

Vol. 31, no 3

739-750

The notion of small-time local attainability (STLA) of a closed set with respect to a nonlinear control system is discussed and a new sufficient STLA condition is proved.