11 citations · 11 across the 6 of their papers we have counts for
7 papers
Summation method in optimal control problem with delay
P. Barkhayev, Yu. Lyubarskii
We describe a summation procedure for the construction of the optimal solution in null controllability problem for differential equation with distributed delay
Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems
Grigory Sklyar, Pavel Barkhayev, Svetlana Ignatovich +1
We present a 'calculator' for constructing a homogeneous approximation of nonlinear control systems, which is based on the algebraic approach developed by the authors in their prev…
Minimum energy exact null-controllability problem for linear time-delay equations
Pavel Barkhayev
We study the minimum energy null-controllability problem for differential equations with point-wise delays. For the equations of both neutral and retarded type we reduce the proble…
Conditions of exact null controllability and the problem of complete stabilizability for time-delay systems
Pavel Barkhayev, Rabah Rabah, Grigory Sklyar
For a class of linear time-delay control systems satisfying the property of completability of the generalized eigenvectors we prove that the problems of complete stabilizability an…
Exact null controllability, complete stabilizability and exact final observability: the case of neutral type systems
Rabah Rabah, Grigory Sklyar, Pavel Yu. Barkhayev +2
For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latt…
On exact controllability of neutral type time-delay systems
R. Rabah, G. M. Sklyar, P. Yu. Barkhayev
The paper is devoted to the problem of global exact controllability for a wide class of neutral and mixed time-delay systems. We consider an equivalent operator model in Hilbert sp…