On the circle for a smooth one-parameter family of controllable cyclic processes with discount, we classify generic singularities of time-average profit as a function of the parameter. The stability of these singularities with respect to small perturbations of generic families is proved
International audienceIn this article we study how bad can be the singularities of a time-optimal tr...
We establish two results about local times of spectrally positive stable processes. The first is a g...
Some characters of semi-stable stochastic processes on local fields such as epochs, spans, and indic...
On the circle for smooth one-parametric families of pairs of profit densities and control systems w...
For a smooth one-parameter family of pairs of control systems and profit densities on a circle, the ...
We consider the optimization problem of maximizing the time-averaged profit for the motion of a smoo...
Using singularity theory tools we study the time averaged problem for control systems and profit den...
The subjacent optimal control problem is nontrivial, since the admissible control values are restric...
We consider the optimization problem that consists in maximizing the time averaged profit for a moti...
Abstract: For one-parametric families of polidynamical systems and of profit den-sities on the circl...
For one parametric smooth family of pairs of control systems and profit densities on the circle, the...
For cyclic processes modeled by periodic motions of a continuous control system on a circle, we prov...
An optimal strategy which exists among periodic rotations or stationery strategies in Arnold's model...
This paper presents an overview of the state of the art in applications of singularity theory to the...
The time mean of a smooth objective function along a phase trajectory of a controlled dynamical syst...
International audienceIn this article we study how bad can be the singularities of a time-optimal tr...
We establish two results about local times of spectrally positive stable processes. The first is a g...
Some characters of semi-stable stochastic processes on local fields such as epochs, spans, and indic...
On the circle for smooth one-parametric families of pairs of profit densities and control systems w...
For a smooth one-parameter family of pairs of control systems and profit densities on a circle, the ...
We consider the optimization problem of maximizing the time-averaged profit for the motion of a smoo...
Using singularity theory tools we study the time averaged problem for control systems and profit den...
The subjacent optimal control problem is nontrivial, since the admissible control values are restric...
We consider the optimization problem that consists in maximizing the time averaged profit for a moti...
Abstract: For one-parametric families of polidynamical systems and of profit den-sities on the circl...
For one parametric smooth family of pairs of control systems and profit densities on the circle, the...
For cyclic processes modeled by periodic motions of a continuous control system on a circle, we prov...
An optimal strategy which exists among periodic rotations or stationery strategies in Arnold's model...
This paper presents an overview of the state of the art in applications of singularity theory to the...
The time mean of a smooth objective function along a phase trajectory of a controlled dynamical syst...
International audienceIn this article we study how bad can be the singularities of a time-optimal tr...
We establish two results about local times of spectrally positive stable processes. The first is a g...
Some characters of semi-stable stochastic processes on local fields such as epochs, spans, and indic...
DOI
Add to ORKG