Controllability of nonlinear Volterra integrodifferential systems
Controllability of partial differential equations on graphs
We study boundary control problems for the wave, heat, and Schrödinger equations on a finite graph. We suppose that the graph is a tree (i.e., it does not contain cycles), and on each edge an equation is defined. The control is acting through the Dirichlet condition applied to all or all but one boundary vertices. Exact controllability in L₂-classes of controls is proved and sharp estimates of the time of controllability are obtained for the wave equation. Null controllability for the heat equation...
Controllability of partially prescribed matrices.
Controllability of quasilinear stochastic evolution equations in Hilbert spaces.
Controllability of retarded dynamical systems
Controllability of right invariant systems on semi-simple Lie groups
We deal with controllability of right invariant control systems on semi-simple Lie groups. We recall the history of the problem and the successive results. We state the final complete result, with a sketch of proof.
Controllability of Schrödinger equation with a nonlocal term
This paper is concerned with the internal distributed control problem for the 1D Schrödinger equation, i ut(x,t) = −uxx+α(x) u+m(u) u, that arises in quantum semiconductor models. Here m(u) is a non local Hartree–type nonlinearity stemming from the coupling with the 1D Poisson equation, and α(x) is a regular function with linear growth at infinity, including constant electric fields. By means of both the Hilbert Uniqueness Method and the contraction mapping theorem it is shown that for initial and...
Controllability of Schrödinger equations
One considers a quantum particle in a 1D moving infinite square potential well. It is a nonlinear control system in which the state is the wave function of the particle and the control is the acceleration of the potential well. One proves the local controllability around any eigenstate, and the steady state controllability (controllability between eigenstates) of this control system. In particular, the wave function can be moved from one eigenstate to another one, exactly and in finite time, by...
Controllability of second order semilinear ordinary differential systems in Banach spaces.
Controllability of second-order equations in .
Controllability of semilinear delay systems
Controllability of semilinear functional integrodifferential systems in Banach spaces
Sufficient conditions for controllability of semilinear functional integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem.
Controllability of semilinear integrodifferential equations with nonlocal conditions.
Controllability of semilinear stochastic evolution equations in Hilbert space.
Controllability of semilinear stochastic integrodifferential systems
In this paper we study the approximate and complete controllability of stochastic integrodifferential system in finite dimensional spaces. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Picard iteration technique.
Controllability of semilinearstochastic delay evolution equations in Hilbert spaces.
Controllability of series connections.
Controllability of systems of Stokes equations with one control force : existence of insensitizing controls
Controllability of systems on a nilpotent Lie group
Controllability of the Benjamin-Bona-Mahony equation.