Control Systems with Almost Periodic Excitations

Tobias Wichtrey Control Systems with Almost Periodic

Institut für Mathematik Fritz Colonius , Tobias Wichtrey Control Systems with Almost Periodic Excitations

Almost Periodic Solutions in Control Systems with Monotone Nonlinearities

We investigate control systems as variational equations in non-standard chains of rigged Hilbert spaces. Monotonicity properties of nonlinearities are introduced with respect to such riggings generated by Lyapunov operators and invariant cones. Sufficient frequency domain conditions for boundedness and the existence of Bohr and Stepanov almost periodic solutions are derived. As an example we co...

Periodic excitations of bilinear quantum systems

A well-known method of transferring the population of a quantum system from an eigenspace of the free Hamiltonian to another is to use a periodic control law with an angular frequency equal to the difference of the eigenvalues. For finite dimensional quantum systems, the classical theory of averaging provides a rigorous explanation of this experimentally validated result. This paper extends thi...

Fractional-period excitations in continuum periodic systems

H. E. Nistazakis, Mason A. Porter, P. G. Kevrekidis, D. J. Frantzeskakis, A. Nicolin, and J. K. Chin Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece Department of Physics and Center for the Physics of Information, California Institute of Technology, Pasadena, California 91125, USA Department of Mathematics and Statistics, University of Massachusett...