13 citations · 64 across the 18 of their papers we have counts for
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Local null controllability of the control-affine nonlinear systems with time-varying disturbances. Direct calculation of the null controllable region
Robert Vrabel
The problem of local null controllability for the control-affine nonlinear systems is considered in this paper. The principal requiremen…
Stabilization and state trajectory tracking problem for nonlinear control systems in the presence of disturbances
Robert Vrabel
In this paper we consider the problem of stabilization and tracking of desired state trajectory for a wide range of nonlinear control problems with disturbances. We present the suf…
Singularly perturbed linear Neumann problem with the characteristic roots on the imaginary axis. A non-resonant case
Robert Vrabel
In this note we are dealing with the problem of existence and asymptotic behavior of solutions for the non-resonant singularly perturbed linear Neumann boundary value problem \begi…
On the approximation of the boundary layers for the controllability problem of nonlinear singularly perturbed systems
Robert Vrabel
A new systematic approach to the construction of approximate solutions to a class of nonlinear singularly perturbed feedback control systems using the boundary layer functions espe…
Frequency control of singularly perturbed forced Duffing's oscillator
Robert Vrabel, Marcel Abas
We analyze the dynamics of the forced singularly perturbed differential equation of Duffing's type. We explain the appearance of the large frequency nonlinear oscillations of the s…