3 papers
math.OC2024
On a control system on an infinite temporal tree
Sergey Buterin
We discuss the stochastic interpretation of a control system determined by a system of differential equations on a tree. For example, such a system on a finite tree arises after re…
math.OC2023
On damping a control system of arbitrary order with global aftereffect on a tree
Sergey Buterin
We study a problem of damping a control system described by functional-differential equations of natural order and neutral type with non-smooth complex coefficients on an arbit…
math.OC2023
On damping a control system with global aftereffect on quantum graphs. Stochastic interpretation
Sergey Buterin
Quantum graphs model processes in complex systems represented as spatial networks in various fields of natural science and technology. An example is the oscillations of elastic str…