Paulo Sergio Pereira da Silva

• Abstract

  The basic ingredients of this research plan is the nonlinear control theory, which will be applied for searching the solution of quantum control problems. Due to the structureof the models that are associated to the Schrodinger equation, these control problems are suitable for the application of differential-geometric methods, since the state space is the Lie-Group U(n) of unitary matric…

  Control of Quantum Gates and of Ensembles of Bloch Equations, AP.R
• Flatness-based control of a single qubit gate., AR.EXT
• Output rank and flatness of regular implicit systems., AR.EXT

(Only some records are available in English at this moment)

• Abstract

  Nonlinear control theory will be applied to quantum control and biped robots. In the context of quantum control, two problems will be studied. The first one is the control of ensembles of Bloch equations arising in the tipical half-spin models that appear in the magnetic ressonance phenomena. The second problem is the control of n-level systems considering a Lyapunov-Lassale approach that…

  Nonlinear control of quantum systems and biped robots, BE.PQ

• Abstract

  Half spin systems are modelled by Bloch equations. When such systems are immersed in a magnetic field, and they are subject to the Larmor dispersion, the corresponding dynamic behavior is dictated by an infinite number of Bloch equations that parameterized by a angular frequence $\omega$. Such "Ensemble" of systems possesses a common input (u,v)$. The problem of controlling the entire ens…

  Stabilization for an ensemble of half-spin systems, BE.PQ