Local small time controllability and attainability of a set for nonlinear control system
Open Access
- 1 January 2001
- journal article
- Published by EDP Sciences in ESAIM: Control, Optimisation and Calculus of Variations
- Vol. 6, 499-516
- https://doi.org/10.1051/cocv:2001120
Abstract
In the present paper, 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 for a general dynamical system. This provide our main result for nonlinear control systems. Some applications to linear and polynomial systems are discussed and STLA necessary and sufficient conditions are obtained when the considered set is a hyperplane.Keywords
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