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2014 �.

System Dynamics

and Control Processes

SDCP'2014

Program of International Conference dedicated

to the 90th

Anniversary of Academician N.N. Krasovskii

Ekaterinburg, Russia

September 15–20, 2014

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2014

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International Program Committee

Co-Chairs: A.B. Kurzhanskii (Russia), Yu.S. Osipov (Russia)

Members:

Allgoewer F. (Germany) Leitmann G. (USA)

Azamov A.A. (Uzbekistan) Nikolskii M.S. (Russia)

Basar T. (USA) Petrosyan L.A. (Russia)

Chernousko F.L. (Russia) Polovinkin E.S. (Russia)

Chikrii A.A. (Ukraine) Subbotina N.N. (Russia)

Clarke F. (France) Tolstonogov A.A. (Russia)

Dzhafarov V. (Turkey) Tonkov E.L. (Russia)

Falcone M. (Italy) Vasilyev S.N. (Russia),

Isidori A. (Italy) Veliov V. (Austria)

Kryazhimskiy A.V. (Russia) Zelikin M.I. (Russia)

Organizing Committee

Co-chairs: V.I. Berdyshev, V.E. Tretyakov

Vice-Chairs: A.G. Chentsov, N.N. Subbotina, V.N. Ushakov

Secretaries: L.V. Kamneva, A. A. Usova

Members:

Ananyev B.I. (IMM UrB RAS) Lukoyanov N.Yu. (IMM UrB RAS)

Asanov M.O. (UrFU) Maksimov V.I. (IMM UrB RAS)

Danilin A.R. (IMM UrB RAS) Patsko V.S. (IMM UrB RAS)

Filippova T.F. (IMM UrB RAS) Pimenov V.G. (UrFU)

Gusev M.I. (IMM UrB RAS) Sesekin A.N. (UrFU)

Kandoba I.N. (IMM UrB RAS) Shagalova L.G. (IMM UrB RAS)

Kleimenov A.F. (IMM UrB RAS) Shelementiev G.S. (UrFU)

Korotkii A.I. (IMM UrB RAS) Tarasyev A.M. (IMM UrB RAS)

Kostousov V.B. (IMM UrB RAS) Uspenskii A.A. (IMM UrB RAS)

Kruzhaev V.V. (UrFU)

Loginov M.I. (UrFU)

Vakula I.A. (IMM UrB RAS,

“Adaptivnye Resheniya”)

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Room Location

A Conference Hall of the Institute of Mathematics and Me-

chanics, S. Kovalevskaya str., 16

“old” building, second floor, right wing

B Library of the Institute of Mathematics and Mechanics,

S. Kovalevskaya str., 16

“new” building, third floor, south side

U Conference Hall of the Ural Federal University,

Lenin Avenue, 51, second floor

115 Institute of Mathematics and Mechanics,

computer class

“old” building, ground floor, left wing

501 Institute of Mathematics and Mechanics,

“new” building, fourth floor, north side

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Institute of Mathematics and Mechanics,

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Schedule

Time Room A Room U Room B Room 501 Room 115 Room 601 Room 606

9:30–10:00 Opening Ceremony

10:00–13:20 Plenary lectures

16

15:00–18:50 Section 2 Section 1 Section 4 Section 6 Section 5 Section 3

10:00–13:20 Plenary lectures 17


18 10:00–13:20 Plenary lectures

10:00–13:20 Plenary lectures 19


10:00–11:30 Plenary lectures

11:50–13:20 Section 2 Section 6 Section 1

20

13:30–14:00 Closing of the conference

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Sections

Section 1 Stability and Stabilization ...................................... 25

Section 2 Control and Estimation for Dynamic Systems

under Uncertainty................................................... 27

Section 3 Differential Games ................................................. 29

Section 4 Control of Distributed Systems and Inverse

Problems of Dynamics............................................ 30

Section 5 Generalized Solutions of Hamilton – Jacobi

Equations................................................................ 31

Section 6 Numerical Methods of Control Theory and

Applications............................................................ 32

Section 7 Application of Methods of Optimal Control

Theory to Economical Problems ............................ 34

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problem for second order functional differential equations under uncertainty

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tion method to simulation of acoustic waves in anisotropic media

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pressible Euler equations

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nomic model

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vehicle

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system

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system

- 21 -

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steiner M. An optimization model linking electricity prices, CO2 prices, and

REDD+ options

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- 22 -

Conference program

September 15, Monday

Conference Hall of the Institute of Mathematics and Mechanics, S. Kovalevskaya str., 16 (room A)

10:00–18:00 Registration of participants

September 16, Tuesday

Conference Hall of the Ural Federal University, Lenin Avenue, 51, 3rd Floor (room U)

9:00–12:00 Registration of participants

9:30–10:00 Opening Ceremony

Session 1. Plenary lectures

Chair Chernousko F.

10:00 – 11:00 Krener A. Al'brecht's method for optimal stabilzation

and its extensions

11:00 – 12:00 Kurzhanski A.B. Theory of trajectory tubes in prob-

lems of group control

Coffee break


Chair Krener A.

12:20 – 13:20 Zelikin M.I., Osipov Yu.S. Multi-dimensional varia-

tion problems

Lunch

15:00–18:50 Section talks

19:00–21:00 Welcome party

- 23 -

September 17, Wednesday



Chair Vasilyev S.N.

10:00 – 11:00 Kirillova F.M., Dmitruk N.M., Gabasov R. Synthe-

sis of optimal systems and optimal control in real time

11:00 – 12:00 Chernousko F. Locomotion control and optimization

for multibody systems

Coffee break


Chair Aseev S.M.

12:20 – 13:20 Davydov A.A. Singularities of parametric optimization and

applications

Lunch


September 18, Thursday



Chair Kurzhanski A.B.

10:00 – 11:00 Allgöewer F. Industry 4.0: Challenges and opportuni-

ties for optimization-based control

11:00 – 12:00 Vasilyev S.N., Druzhinin A.E. On model analogies

and multi regime systems

Coffee break


Chair Chentsov A.G.

12:20 – 13:20 Ovsyannikov D.A. Mathematical control models in

problems of beam dynamics optimization

Lunch

- 24 -

14:30–18:30 Cultural program

19:30–22:00 Banquet

September 19, Friday



Chair Allgöewer F.

10:00 – 11:00 Dontchev A. Some inverse function theorems

11:00 – 12:00 Kryazhimskiy A.V. Non-anticipatory control strate-

gies: from differential games to incomplete state information

Coffee break

12:20 – 13:20 Chikrii A.A. On sufficient conditions for solvability

of game-approach problems

Lunch


September 20, Saturday



Chair Kryazhimskiy A.V.

10:00 – 10:45 Ushakov V.N. The unification method of

N.N. Krasovskii in differential games

10:45 – 11:30 Subbotina N.N. Methods of optimal control theory to

solutions of boundary problems for PDEs of the first order

Coffee break


13:30–14:00 Closing of the conference

- 25 -

Program of sections

Section 1. Stability and Stabilization

September 16, Tuesday (room B)

Session 1.1 Finogenko I.A.

15:00–15:30 Finogenko I.A. The limit differential inclusions and stability of

nonautonomous systems

15:30–16:00 Danilov L.I. Multivalued recurrent mappings and their selectors

16:00–16:30 Egrashkina J.E., Sedova N.O. Fuzzy T-S systems in stability

analysis for nonlinear differential systems

Coffee break

Session 1.2 Chair Barabanov I.N.

16:50–17:20 Tkhai V.N., Barabanov I.N. Stabilization of oscillations in

model containing coupled subsystems

17:20–17:50 Kalyakin L. Stability of autoresonance under persistent pertur-

bation by white noise

17:50–18:20 Shcheglova A.A. On investigation of qualitative properties of

nonlinear differential-algebraic equations

September 17, Wednesday (room B)

Session 1.3 Chair Tonkov E.L.

15:00–15:30 Panasenko E.A., Tonkov E.L. Extension of E.A. Barbashin and

N.N. Krasovskii theorem onto controllable systems on smooth manifolds

15:30–16:00 Zaitsev V.A. Sufficient conditions for stabilization of discrete-

time stationary affine control systems with time-invariant coefficients

16:00–16:30 Kukushkina E.V. Canonical approximation in problem of stabi-

lization for autonomous functional-differential equations

Coffee break

Session 1.4 Chair Krasinskiy A.Ya.

16:50–17:20 Krasinskiy A.Ya., Krasinskaya E.M. On the method for

investigation of some class stabilization problems with incomplete state

information

17:20–17:50 Struzhanov V.V., Burmasheva N.V. Method of a simple itera-

tion and stability of equilibria of mechanical nonlinear gradient systems

- 26 -

17:50–18:20 Shevchenko R.I. Numeric research of stability of the general-

ized Kolmogorov flow

September 19, Friday (room B)

Session 1.5 Chair Simonov P.M.

15:00–15:30 Simonov P.M., Larionov A.S. Stability of linear hybrid func-

tional differential systems with aftereffect

15:30–16:00 Dolgii Yu.F. Optimal stabilization of systems of differential

equations with aftereffect of neutral type

16:00–16:30 Grebenschikov B.G., Lozhnikov A.B. A stabilization algorithm

for a system of neutral type

Coffee break

Session 1.6 Chair Popova S.N.

16:50–17:20 Popova S.N., Banshchikova I.N. On global reducibility of

discrete almost periodic systems

17:20–17:50 Kayumov R.I. On singularly perturbed differential inclusions

17:50–18:20 Tkhai V.N. Stability conditions for coupled linear system

September 20, Saturday (room 606)

Session 1.7 Chair Ryashko L.B.

11:50–12:20 Ryashko L.B. Stochastic sensitivity functions technique for

analysis of noise-induced phenomena in nonlinear dynamic systems

12:20–12:50 Rodina L.I. Invariant sets of control system with random coeffi-

cients

12:50–13:20 Ekaterinchuk E.D., Ryashko L.B. Analysis of Verhulst sto-

chastic model with delay

- 27 -

Section 2. Control and Estimation for Dynamic Systems under Uncertainty

September 16, Tuesday (room A)

Session 2.1 Chair Pereira F.L.

15:00–15:30 Aseev S.M., Veliov V.M. Maximum principle for infinite-

horizon optimal control problems under weak regularity assumptions

15:30–16:00 Pereira F.L. A maximum principle for an infinite horizon opti-

mal control problem

16:00–16:30 Khlopin D.V. Tauberian-type theorem for conflict-controlled

systems

Coffee break

Session 2.2 Chair Ananyevskiy I.M.

16:50–17:20 Danilin A.R. Asymptotics of the solution of a singularly per-

turbed optimal control problem with integral constraints and the given crite-

rion of quality

17:20–17:50 Kalinin A.I., Lavrinovich L.I. Asymptotically suboptimal

feedback synthesis in singularly perturbed linear-quadratic optimal control

problem

17:50–18:20 Kostousova E.K. On polyhedral control synthesis for discrete-

time systems under uncertainties and state constraints

18:20–18:50 Sokolov V.F. Adaptive stabilization of minimum-phase plant

under Lipschitz uncertainty and bounded outer disturbance

September 17, Wednesday (room A)

Session 2.3 Chair Gorokhovik V.V.

15:00–15:30 Chentsov A.G. Extension of abstract attainability problems

15:30–16:00 Ananyevskiy I.M. Control of underactuated mechanical systems

near equilibrium position 16:00–16:30 Filippova T.F. Estimates of reachable sets of nonlinear dynamic

system with uncertainty

Coffee break

Session 2.4 Chair Ananyev B.I.

16:50–17:20 Ananyev B.I. On estimation of inverse difference equations with

statistically uncertain disturbances

- 28 -

17:20–17:50 Bashkirtseva I.A. Mean-square analysis of stochastic cycles for

discrete systems with parametric noises

17:50–18:20 Ilin E.D., Shiryaev V.I. On guaranteed estimation of some

kinds of disturbances in linear dynamic system

18:20–18:50 Podivilova E.O., Shiryaev V.I. Information set approximation

in minimax filtration problem using linear inequalities systems

September 19, Friday (room A)

Session 2.5 Chair Polovinkin E.S.

15:00–15:30 Azamov A.A. DN-tracking method in a quality theory of dy-

namic systems

15:30–16:00 Gorokhovik V.V., Trafimovich M.A. Banach spaces of posi-

tively homogeneous functions in nonsmooth analysis and optimization

16:00–16:30 Polovinkin E.S. Necessary conditions for optimality in problems

with differential inclusions

Coffee break

Session 2.6 Chair Kalinin A.I.

16:50–17:20 Gusev M.I. Approximation of reachable sets of nonlinear con-

trol systems with state constraints

17:20–17:50 Dmitruk N.M. Optimal control of interacting systems with

disturbances

17:50–18:20 Slepukhina E.S., Ryashko L.B. Analysis of stochastic excit-

ability in Hindmarsh – Rose neuron model

18:20–18:50 Shorikov A.F. Two-level minimax program control problem of

approach process for discrete-time dynamic system

September 20, Saturday (room A)

Session 2.7 Chair Sesekin A.N.

11:50–12:20 Sesekin A.N. Degenerate linear-quadratic problem for system

with linear delay 12:20–12:50 Bravyi E.I. On conditions for the solvability of the periodic

problem for second order functional differential equations under uncertainty

12:50–13:20 Sheludko A.S., Shiryaev V.I. Parameter identification for cha-

otic dynamic systems: a guaranteed approach

- 29 -

Section 3. Differential Games

September 16, Tuesday (room 606)

Session 3.1 Chair Azamov A.A.

15:00–15:30 Petrosyan L.A. Two-stage cooperation in coalitional differential

games

15:30–16:00 Uspenskii A.A., Ushakov A.V. The modelling of solutions of

differential games in one class of nonconvex sets with smooth border

16:00–16:30 Blagodatskikh A.I. Group pursuit under presence of defenders

of the evader

Coffee break

Session 3.2 Chair Petrosyan L.A.

16:50–17:20 Krasovskiy N.A., Tarasyev A.M. Algorithms for construction

of equilibrium trajectories in dynamic bimatrix games

17:20–17:50 Lukoyanov N.Yu., Plaksin A.R. Finite-dimensional modelling

guides for conflict-control systems of neutral type

17:50–18:20 Lutmanov S.V. About one method of construction of compro-

mise sets of strategies in differential games of several persons

18:20–18:50 Serkov D.A. On non-improvability of full–memory strategies in

problems of the guaranteed result optimization

September 17, Wednesday (room 606)

Session 3.3 Chair Ukhobotov V.I.

15:00–15:30 Ushakov V.N., Brykalov S.A., Parshikov G.V. Collections of

differential inclusions and unification of collections

15:30–16:00 Kumkov S.S., Patsko V.S. Maximal stable bridges in pursuit

problems with two pursuers and one evader

16:00–16:30 Kornev D.V. On numerical solving of differential games on

minimax of a positional functional in classes of mixed strategies

Coffee break

Session 3.4 Chair Petrov N.N.

16:50–17:20 Ukhobotov V.I., Izmestev I.V. One-type differential games

with terminal set in form of a ring

17:20–17:50 Dvurechensky P.E., Ivanov G.E. Minkowski operators and

their application to differential games

17:50–18:20 Gomoyunov M.I., Lukoyanov N.Yu. Numerical solution of

control problems for the maxmin-minmax of a positional functional

- 30 -

18:20–18:50 Averboukh Yu. Non-zero sum differential games and control

with guide strategies

September 19, Friday (room 606)

Session 3.5 Chair Chikrii A.A.

16:50–17:20 Petrov N.N., Vinogradova M.N., Solovyeva N.A. On some

non-stationary problems of group pursuit

17:20–17:50 Kleimenov A.F. Equilibrium solutions of non-antagonistic posi-

tional differential game in classes of pure strategies

17:50–18:20 Bannikov A.S. On linear non-stationary differential games of

group pursuit

Section 4. Control of Distributed Systems and Inverse

Problems of Dynamics


Session 4.1 Chair Egorov A.I.

15:00–15:30 Sumin V.I., Chernov A.V. Volterra functional-operator equa-

tions in the optimal control theory of distributed systems

15:30–16:00 Pavlenko V.N. Non-uniqueness theorems for periodic parabolic

problems with discontinuous non-linearities

16:00–16:30 Shananin A.A. Inverse problem in model of resources distribu-

tion

Coffee break

Session 4.2 Chair Sumin V.I.

16:50–17:20 Egorov A.I., Znamenskaya L.N. Control with minimal energy

for boundary problems with parabolic equation

17:20–17:50 Sumin M.I. Stable sequential Pontryagin maximum principle in

optimal control of distributed systems

17:50–18:20 Chernov A.V. On total preservation of solvability of controlled

Diriclet problem for elliptic equation

18:20–18:50 Krejčí P., Timoshin S.A. Coupled ODEs control system with

unbounded hysteresis region

- 31 -


Session 4.3 Chair Pavlenko V.N.

15:00–15:30 Subbotina N.N., Tokmantsev T.B. Studies on solutions stabil-

ity of inverse problems of dynamics for controlled systems w.r.t. perturbations

of input data

15:30–16:00 Rozenberg V.L. Parameters reconstruction of a linear stochastic

equation under conditions of information shortage

16:00–16:30 Surkov P.G. On one ill-posed problem of forecasting for

a linear autonomous system with delay

Coffee break

Session 4.4 Chair Sumin M.I.

16:50–17:20 Blizorukova M.S. On reconstruction of input actions in a system

with delay in control

17:20–17:50 Maksimov V.I. On tracking trajectories of dynamical systems

by the extremal control methods

17:50–18:20 Korotkii A.I., Starodubtseva Yu.V. Reconstruction of bound-

ary controls from boundary observations in the reaction-convection-diffusion

systems

Section 5. Generalized Solutions of Hamilton – Jacobi

Equations


Session 5.1 Chair Botkin N.D.

15:00–15:30 Botkin N.D., Turova V.L. Application of Krasovskii's unifica-

tion method to simulation of acoustic waves in anisotropic media

15:30–16:00 Dykhta V.A., Samsonyuk O.N. Hamilton – Jacobi inequalities

and optimality conditions for impulse control systems

16:00–16:30 Shagalova L.G. On application of the characteristics method to

construction generalized solution of the Hamilton – Jacobi equation with state

constraints

- 32 -


Session 5.2 Chair Rozanova O.S.

15:00–15:30 Rozanova O.S. Constructing steady states for the 2D com-

pressible Euler equations

15:30–16:00 Kolpakova E.A. Generalized solutions of Hamilton – Jacobi

equations system

16:00–16:30 Rodin A.S. On structure of a singular set of the minimax solu-

tion for the Hamilton – Jacobi – Bellman equation


Session 5.3 Chair Dykhta V.A.

15:00–15:30 Dykhta V.A. Bipositional Lagrangians and duality in nonconvex

optimal control problems

15:30–16:00 Gasnikov A.V., Dvurechensky P.E. Optimization methods for

problems with inexact oracle in Hilbert space

16:00–16:30 Krupennikov E.A. Dynamic reconstruction of a macroeco-

nomic model

Section 6. Numerical Methods of Control Theory and Applications


Session 6.1 Chair Kostousov V.B.

15:00–15:30 Dumsheva T.D., Kandoba I.N., Koz'min I.V., Kostou-sov V.B., Kostousova E.K., Lozhnikov A.B., Pochinskii V.I. Optimal orbit

transfers of a carrier rocket

15:30–16:00 Voronov V.A.. The modified method of sequential linearization

for control problem of redundant moment gyros

16:00–16:30 Vorotnikov V.I., Martyshenko Yu.G. Reorientation of an

asymmetric rigid body by means of the engine-flywheels under the game

model of noises

Coffee break

Session 6.2 Chair Kumkov S.I.

16:50–17:20 Bedin D.A., Ivanov A.G., Fedotov A.A. Identification of sys-

tematic errors of radars on the basis of their joint measurements

17:20–17:50 Sousa J.B. Dynamic optimization challenges in networked vehi-

cle

- 33 -

17:50–18:20 Kruglikov S.V. A priori simulation of spacial motion for

a group of objects with restricted maneuverability

18:20–18:50 Gornov A.Yu., Anikin A.S., Andrianov A.N. Some difficulties

of numerical solution of optimization problems with billions of variables


Session 6.3 Chair Strekalovsky A.S.

15:00–15:30 Huseyin N., Huseyin A., Guseinov Kh.G. On properties of

trajectories set of control system described by an affine integral equation

15:30–16:00 Gornov A.Yu., Zarodnyuk T.S. Computing technologies for

global extremum search in an optimal control problem with a free right end

16:00–16:30 Strekalovsky A.S. Theory and methods for solving nonconvex

optimal control problems

Coffee break

Session 6.4 Chair Kazakov A.L.

16:50–17:20 Lebedev P.D., Kazakov A.L. The best approximations of sets

by the finite sets of circles

17:20–17:50 Zharinov A.N., Kumkov S.S. Convergence of algorithms for

constructing boundaries of reachability sets in control problems in the plane

17:50–18:20 Zimovets A.A., Matviychuk A.R. On effective grid methods for

integral funnels construction in dynamic systems


Session 6.5 Chair Andreev A.S.

15:00–15:30 Reshmin S.A. The simplest structure of the time-optimal feed-

back control for single-DOF systems

15:30–16:00 Solodushkin S.I., Sagoyan A.A. Numerical investigation of

a controlled first order hyperbolic equation with time delay and retardation in

state variable

16:00–16:30 Andreev A.S., Peregudova O.A., Kudashova �.�.

On stabilization of mechanical system motions by use of various types of

controls

Coffee break

Session 6.6 Chair Ageev A.L.

16:50–17:20 Ageev A.L., Antonova T.V., Kurlikovskii D.V. Localization of

lines of discontinuity for function of two variables

- 34 -

17:20–17:50 Kazakov A.L., Lempert A.A. On a wave approach to solving

optimization problems of logistic infrastructure

17:50–18:20 Finkelstein E.A., Gornov A.Yu. Algorithm library in the soft-

ware package OPTCON-MD for reachable set approximation of a nonlinear

system

18:20–18:50 Pimenov V.G. Numerical method for modelling controlled

advection equation with delay

September 20, Saturday (room 115)

Session 6.7 Chair Sivergina I.F.

11:50–12:20 Krasovskii A.N., Bocharov G.A., Kim A.V., Glushenk-

ova V.V., Safronov M.A. Control and stabilization of mathematic HIV mod-

els (processes)

12:20–12:50 Sivergina I.F. Relaxation and dynamic estimation in a hybrid

system

Section 7. Application of Methods of Optimal Control

Theory to Economical Problems


Session 7.1 Chair Tarasyev A.M.

15:00–15:30 Tarasyev A.M., Usova A.A. Model of development for re-

source-dependent economics

15:30–16:00 Krasovskii A.A., Khabarov N.V., Reuter W.H., Ober-

steiner M. An optimization model linking electricity prices, CO2 prices, and

REDD+ options

16:00–16:30 Kudryavtcev K.N., Stabulit I.S. On a problem of advertising

discrete control

Coffee break

Session 7.2 Chair Timofeeva G.A.

16:50–17:20 Melnikov N.B., O’Neill B.C., van Ruijven B.J., Dalton M.G.

Downscaling heterogeneous household outcomes in dynamic CGE models

17:20–17:50 Timofeeva G.A., Timofeev N.A. Formalization of Markov

chain control problem under incomplete information

17:50–18:20 Bashkirtseva I.A., Ekaterinchuk E.D., Ryazanova T.V. Com-

parative analysis of stochastic effect on the Goodwin model

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