71 citations · 129 across the 8 of their papers we have counts for
8 papers
Seierstad Sufficient Conditions for Stochastic Optimal Control Problems with Infinite Horizon
Anton O. Belyakov, Yuri M. Kabanov, Ivan A. Terekhov +1
In this note we consider a problem of stochastic optimal control with the infinite-time horizon. We present analogues of the Seierstad sufficient conditions of overtaking optimalit…
On a sufficient condition for infinite horizon optimal control problems
Anton O. Belyakov
New form of sufficient optimality condition is obtained in comparison with the Mangasarian sufficiency theorem. Both finite and infinite values of objective functional are allowed…
Stability boundary approximation of periodic dynamics
Anton O. Belyakov, Alexander P. Seyranian
We develop here the method for obtaining approximate stability boundaries in the space of parameters for systems with parametric excitation. The monodromy (Floquet) matrix of linea…
Necessary Conditions for Infinite Horizon Optimal Control Problems Revisited
Anton O. Belyakov
Necessary optimality conditions in the form of the maximum principle for control problems with infinite time horizon are considered. Both finite and infinite values of objective fu…
Homoclinic, Subharmonic and Superharmonic Bifurcations for a Pendulum with Periodically Varying Length
Anton O. Belyakov, Alexander P. Seyranian
Dynamic behavior of a weightless rod with a point mass sliding along the rod axis according to periodic law is studied. This is the simplest model of child's swing. Melnikov's anal…
How to twirl a hula-hoop
Alexander P. Seyranian, Anton O. Belyakov
We consider twirling of a hula-hoop when the waist of a sportsman moves along an elliptic trajectory close to a circle. For the case of the circular trajectory, two families of exa…
On rotational solutions for elliptically excited pendulum
Anton O. Belyakov
The author considers the planar rotational motion of the mathematical pendulum with its pivot oscillating both vertically and horizontally, so the trajectory of the pivot is an ell…
On Nonlinear Dynamics of the Pendulum with Periodically Varying Length
Anton O. Belyakov, Alexander P. Seyranian
Dynamic behavior of a weightless rod with a point mass sliding along the rod axis according to periodic law is studied. This is the pendulum with periodically varying length which…