We introduce a general formalism for linear evolution equations with skew adjoint operators. We make explicit the controllability operator as an expansion with respect to eigenfunctions. Using the fact that the eigenvalues are purely imaginary, we give sufficient controllability conditions. This approach is convenient for studying the asymptotic behaviour of the optimal control
The article is devoted to the actual problem of the mathematical theory of controllability. It inves...
AbstractIn this paper we prove that the controllability for evolution equations in Banach spaces is ...
A notion of Lp-exact controllability is introduced for linear controlled (forward) stochastic differ...
The author has previously pointed out the specific property of exact controllability that linear dyn...
This paper is concerned with systems with control whose state evolution is described by linear skew-...
AbstractThe stabilization problem of systems with a skew-adjoint operator in a Hilbert space is cons...
In the paper we consider the linear inverse problem that consists in recovering the initial state in...
We consider the observability problem for non-autonomous evolution systems (i.e., the operators gove...
Abstract. This paper deals with the approximate controllability of semilinear evolution systems in H...
AbstractThe approximate controllability property for solutions of a large class of nonlinear evoluti...
A notion of partial controllability (also can be called directional controllability or output contro...
This paper studies Volterra evolution equations from the point of view of control theory, in the cas...
A criterion of exact controllabilty using the resolvent of the state space operator is given for lin...
AbstractA criterion of exact controllability using the resolvent of the state space operator is give...
As we have announced in the title of this work, we show that a broad class of linear evolution equat...
The article is devoted to the actual problem of the mathematical theory of controllability. It inves...
AbstractIn this paper we prove that the controllability for evolution equations in Banach spaces is ...
A notion of Lp-exact controllability is introduced for linear controlled (forward) stochastic differ...
The author has previously pointed out the specific property of exact controllability that linear dyn...
This paper is concerned with systems with control whose state evolution is described by linear skew-...
AbstractThe stabilization problem of systems with a skew-adjoint operator in a Hilbert space is cons...
In the paper we consider the linear inverse problem that consists in recovering the initial state in...
We consider the observability problem for non-autonomous evolution systems (i.e., the operators gove...
Abstract. This paper deals with the approximate controllability of semilinear evolution systems in H...
AbstractThe approximate controllability property for solutions of a large class of nonlinear evoluti...
A notion of partial controllability (also can be called directional controllability or output contro...
This paper studies Volterra evolution equations from the point of view of control theory, in the cas...
A criterion of exact controllabilty using the resolvent of the state space operator is given for lin...
AbstractA criterion of exact controllability using the resolvent of the state space operator is give...
As we have announced in the title of this work, we show that a broad class of linear evolution equat...
The article is devoted to the actual problem of the mathematical theory of controllability. It inves...
AbstractIn this paper we prove that the controllability for evolution equations in Banach spaces is ...
A notion of Lp-exact controllability is introduced for linear controlled (forward) stochastic differ...