Add to ORKGAbstract. 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 sucient conditions are obtained when the considered set is a hyperplane
In this paper, we investigate reachable sets for some classes of open- and closed-loop control syste...
The determination of the reachable set for a class of nonlinear systems with control and state traje...
AbstractIn this paper we obtain an explicit expression for the reachable set for a class of nonlinea...
In the present paper, we study the problem of small-time local attainability (STLA) of a closed set...
The notion of small-time local attainability (STLA) of a closed set with respect to a nonlinear cont...
We study the problem of small-time local attainability (STLA) of a closed set. For doing this, we in...
In this paper we consider the problem of small time local attainability (STLA) for nonlinear finite-...
Abstract In this note, we investigate the existence of controls which allow to reach a given closed ...
We deal with the problem of small time local attainability (STLA) for nonlinear finite-dimensional t...
The properties of reachable sets for linear dynamical systems for specified control sets are discuss...
AbstractIf small attainability subspaces of linear time delay systems are closed in a certain Sobole...
This paper develops a new approach to small time local attainability of smooth manifolds of any dime...
The reachable sets of nonlinear systems are usually quite complicated. They, as a rule, are non-conv...
The reachable sets of nonlinear systems are usually quite complicated. They, as a rule, are non-conv...
We prove sufficient conditions for the instantaneous local controllability of nonlinear (nonsmooth) ...
In this paper, we investigate reachable sets for some classes of open- and closed-loop control syste...
The determination of the reachable set for a class of nonlinear systems with control and state traje...
AbstractIn this paper we obtain an explicit expression for the reachable set for a class of nonlinea...
In the present paper, we study the problem of small-time local attainability (STLA) of a closed set...
The notion of small-time local attainability (STLA) of a closed set with respect to a nonlinear cont...
We study the problem of small-time local attainability (STLA) of a closed set. For doing this, we in...
In this paper we consider the problem of small time local attainability (STLA) for nonlinear finite-...
Abstract In this note, we investigate the existence of controls which allow to reach a given closed ...
We deal with the problem of small time local attainability (STLA) for nonlinear finite-dimensional t...
The properties of reachable sets for linear dynamical systems for specified control sets are discuss...
AbstractIf small attainability subspaces of linear time delay systems are closed in a certain Sobole...
This paper develops a new approach to small time local attainability of smooth manifolds of any dime...
The reachable sets of nonlinear systems are usually quite complicated. They, as a rule, are non-conv...
The reachable sets of nonlinear systems are usually quite complicated. They, as a rule, are non-conv...
We prove sufficient conditions for the instantaneous local controllability of nonlinear (nonsmooth) ...
In this paper, we investigate reachable sets for some classes of open- and closed-loop control syste...
The determination of the reachable set for a class of nonlinear systems with control and state traje...
AbstractIn this paper we obtain an explicit expression for the reachable set for a class of nonlinea...