OPTIMAL PERIODIC SYSTEMS OF CONTROL WITH SINGULAR PERTURBATIONS

V. A. Sobolev , E. N. Zharikova
Automation and Remote Control 58 ( 7) 1188 -1202

3
1997
OPTIMAL CONTROL OF FLOWS OF RAW MATERIALS AND PRODUCTS BY THE CHOICE OF PRICES

A. M. Tsirlin , V. A. Mironova , V. A. Sobolev
Automation and Remote Control 59 ( 2) 229 -236

1998
The motion of a rigid body with a gyroscope and a moving mass

N. V. Pendiukhova , V. V. Strygin , V. A. Sobolev
MekTT 21 12 -18

1986
Decomposition of singularly pertubred differential systems

N. V. Voropaeva , V. A. Sobolev
Computational Mathematics and Modeling 9 ( 1) 28 -37

1998
A Periodic Singularly Perturbed Problem for the Matrix Riccati Equation

E. N. Smetannikova , V. A. Sobolev
Differential Equations 41 ( 4) 529 -537

2
2005
Passage to the limit in a singularly perturbed partial integro-differential system

A. A. Archibasov , A. Korobeinikov , V. A. Sobolev
Differential Equations 52 ( 9) 1115 -1122

10
2016
Dimensionality reduction in optimal control and estimation problems for systems of solid bodies with low dissipation

M. S. Osintsev , V. A. Sobolev
Automation and Remote Control 74 ( 8) 1334 -1347

11
2013
Decomposition of a linear-quadratic optimal control problem with fast and slow variables

N. V. Voropaeva , V. A. Sobolev
Automation and Remote Control 67 ( 8) 1185 -1193

7
2006
MEASUREMENT OF ANGULAR VIBRATIONS OF ELECTRICAL MACHINES FOR PERFORMING VIBRATIONAL DIAGNOSTICS OF THEIR TECHNICAL STATE

V. V. Lazyuk , V. A. Sobolev , A. K. Yavlenskii
Measurement Techniques 40 ( 11) 1084 -1088

1997
Asymptotic decomposition of slow integral manifolds

L. I. Kononenko , V. A. Sobolev
Siberian Mathematical Journal 35 ( 6) 1119 -1132

22
1994
Regularization of Cheap Periodic Control Problems

E. N. Smetannikova , V. A. Sobolev
Automation and Remote Control 66 ( 6) 903 -916

17
2005
Decomposition of linear singularly perturbed systems

V. A. Sobolev
Acta Mathematica Hungarica 49 ( 3-4) 365 -376

1
1987
On the (in)stability of quasi‐static paths of smooth systems: definitions and sufficient conditions

J. A. C. Martins , N. V. Rebrova , V. A. Sobolev
Mathematical Methods in The Applied Sciences 29 ( 6) 741 -750

10
2006
Integral manifolds, singular perturbations and optical control

V. A. Sobolev
Ukrainian Mathematical Journal 39 ( 1) 95 -99

2
1987
New type of travelling wave solutions

K. R. Schneider , E. A. Shchepakina , V. A. Sobolev
Mathematical Methods in The Applied Sciences 26 ( 16) 1349 -1361

18
2003
Canards and critical behavior in autocatalytic combustion models

G. N. Gorelov , E. A. Shchepakina , V. A. Sobolev
Journal of Engineering Mathematics 56 ( 2) 143 -160

23
2006
Asymptotic expansions of slow invariant manifolds and reduction of chemical kinetics models

V. A. Sobolev , E. A. Tropkina
Computational Mathematics and Mathematical Physics 52 ( 1) 75 -89

8
2012
Reduction of dimension of optimal estimation problems for dynamical systems with singular perturbations

M. S. Osintsev , V. A. Sobolev
Computational Mathematics and Mathematical Physics 54 ( 1) 45 -58

7
2014