Russian version

 

Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences
Dynamic Systems Department

Homepage of V.S. Patsko's working group

 



The page is maintained by A.G. Ivanov
Data selection and correction by V.S. Patsko









Conference Presentations with Comments

S.S.Kumkov, V.S.Patsko Construction of singular surfaces in linear differential games.
8-th International Symposium on Dynamic Games and Applications (July 5–7, 1998, Maastricht, the Netherlands).

V.L.Averbukh, S.S.Kumkov, V.S.Patsko, O.A.Pykhteev, D.A.Yurtaev Specialized Visualization Systems for Differential Games.
3rd IMACS International Multiconference on Circuits, Systems, Communications and Computers (CSCC '99) (July 4–8, 1999, Athens, Greece).

S.I.Kumkov, V.S.Patsko, S.G.Pyatko, A.A.Fedotov Four-dimensional informational sets in a problem of aircraft tracking.
11th IFAC Workshop CAO'2000 (July 3–6, 2000, St.-Petersburg, Russia).

S.S.Kumkov, V.S.Patsko, J.Shinar Level sets of the value function in linear differential games with elliptical vectograms.
11th IFAC Workshop CAO'2000 (July 3–6, 2000, St.-Petersburg, Russia).

L.V. Kamneva, V.S. Patsko, V.L.Turova Analytical and numerical study of the dolichobrachistochrone problem.
Conference "Viscosity Solutions and Applications" & "Analysis and Control of Deterministic and Stochastic Evolution Equation" (July 3–7, 2000, Bressanone-Brixen, Italy).

V.S.Patsko, V.L.Turova Presentation "History of the Homicidal Chauffeur Problem".
Colloqium dedicated to the 60th anniversary of Prof. Pierre Bernhard (March 29–30, 2005, Sophia Antipolis, France).

V.S.Patsko, A.A.Fedotov, S.I.Kumkov, S.G.Pyatko Informational sets in model problems of aircraft tracking.
16-th IFAC World Congress (July 4–8, 2005, Prague, Chech Republic).

S.A.Ganebny, S.S.Kumkov, A.I.Krasov, V.S.Patsko Aircraft landing control under wind disturbances.
The 12th International Symposium on Dynamic Games, ISDG-2006 (July 3–6, 2006, Sophia-Antipolis, France).

V.S.Patsko, V.L.Turova Homicidal chauffeur becomes more dangerous.
The 12th International Symposium on Dynamic Games, ISDG-2006 (July 3–6, 2006, Sophia-Antipolis, France).

V.S.Patsko, S.A.Ganebny, S.S.Kumkov Adaptive Control in Problems with Dynamic Disturbance of Unknown Level.
International Symposium on Guidance and Differential Games Dedicated to the 75th birthday of Prof. Josef Shinar (November 8, 2007, Haifa, Israel).

L.V.Kamneva On discontinuous value functions in time-optimal differential games.
13th International Symposium on Dynamic Games and Applications, Wroclaw University of Technology (June 30–July 3, 2008, Wroclaw, Poland).

S.S.Kumkov Numerical construction of singular surfaces in linear differential games.
13th International Symposium on Dynamic Games and Applications, Wroclaw University of Technology (June 30–July 3, 2008, Wroclaw, Poland).

V.S.Patsko, V.L.Turova Homicidal chauffeur game: history and modern studies.
13th International Symposium on Dynamic Games and Applications, Wroclaw University of Technology (June 30–July 3, 2008, Wroclaw, Poland).

V.S.Patsko, V.L.Turova Families of Semipermeable Curves and Their Application to Some Complicated Variants of the Homicidal Chauffeur Problem.
Second International Conference on Game Theory and Management GTM2008. Graduate School of Management, St. Petersburg State University, and the International Society of Dynamic Games (Russian Chapter) (June 26–27, 2008, St.-Petersburg, Russia).

A.G.Ivanov, A.V.Ushakov Adaptive Control in Three-Dimensional Linear Systems with Dynamical Disturbance of Unknown Level.
Second International Conference on Game Theory and Management GTM2008. Graduate School of Management, St. Petersburg State University, and the International Society of Dynamic Games (Russian Chapter) (June 26–27, 2008, St.-Petersburg, Russia).

A.A.Fedotov, V.S.Patsko, V.L.Turova Reachable Sets for Some Simple Models of the Car's Motion.
International Conference "Differential Equations and Topology" dedicated to Centennial Anniversary of L.S.Pontryagin (June 17–22, 2008, Moscow, Russia).

S.A. Ganebny, A.I. Krasov, V.S. Patsko, M.A. Smolnikova Problem of vertical passing an obstacle by an aircraft under wind disturbances.
European Control Conference 2009 (August 23–26, 2009, Budapest, Hungary).

V.S.Patsko, A.A.Fedotov, S.A.Ganebny, S.S.Kumkov Model Problems of Aircraft Guidance in Education Program on Optimal Control and Differential Games.
The 9th IFAC Symposium "Advances in Control Education" ACE'2012 (June 19–21, 2012, Nizhny Novgorod, Russia).

S.A. Ganebny, S.S. Kumkov, S. Le Menec, V.S. Patsko Switching Lines for Optimal Control in Differential Game with Two Pursuers and One Evader.
The 15th International Symposium on Dynamic Games and Application (July 19–22, 2012, Liblice, Czech Republic).

L. Kamneva, V. Patsko Semigroup property of the programmed absorption operator in differential games with simple motions in the plane.
The 15th International Symposium on Dynamic Games and Application (July 19–22, 2012, Liblice, Czech Republic).

S. Kumkov, S. Le Menec, V. Patsko Model Formulation of Pursuit Problem with Two Pursuers and One Evader.
Euro GNC 2013 – 2nd CEAS Specialist Conference on Guidance, Navigation & Control, TU Delft (April 10–12, 2013, Delft, the Netherlands).

S. Kumkov, S. Le Menec, V. Patsko Different Variants of Players' Dynamics in Game with Two Pursuers and One Evader.
The 16th International Symposium on Dynamic Games and Applications — ISDG'2014 (July 9–12, 2014, Amsterdam, the Netherlands).

D. Bedin, A. Fedotov, S. Ganebniy, A. Ivanov, V. Patsko Coprocession of Data from Several Radars for Determination of Systematic Errors in Azimuth and Range.
55th Israel Annual Conference on Aerospace Sciences (Tel-Aviv & Haifa, Israel, February 25–26, 2015).

Bedin D.A. Model Selection for Radar Registration Errors by Comparison of Radar and ADS-B Data.
56th Israel Annual Conference on Aerospace Sciences (Tel-Aviv & Haifa, Israel, March 9–10, 2016).

Starodubtsev I.S., Fedotov A.A., Averbukh V.L., Patsko V.S. Reachable Sets for Dubins Car in Control Problems: Physical Visualization.
24th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision. WSCG 2016. Plzen, Czech Republic May 30 – June 3, 2016.

 

Research publications

Turova V.L. Take-Off Control in a Windshear.
Preprint. Institute of Mathematics and Mechanics, UrB AS of USSR, Ekaterinburg, 1991. 12 p.

V.S.Patsko, V.L.Turova Numerical Solution of Two-Dimensional Differential Games:
Preprint. Ekaterinburg; IMM UrO RAN, 1995. 78 p.

V.S.Patsko, V.L.Turova Numerical Study of Differential Games with the Homicidal Chauffeur Dynamics.
Ekaterinburg, Institute of mathematics and mechanics, UrB of RAS, 2000. 58 p.

S.A.Ganebny, S.S.Kumkov, V.S.Patsko, S.G.Pyatko Robust control in game problems with linear dynamics. Preprint.
Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences. Ekaterinburg, RUSSIA, 2005, 54 p.
Appendix to Preprint: Example with conflict-controlled pendulum.

V.S.Patsko, V.L.Turova Homicidal chauffeur game: history and modern studies. Scientific report.
IMM Ural Branch of RAS. Ekaterinburg, Russia, 2009. 44 p.

 

Exhibitions

Images of Control and Differential Game Problems. The exhibition in IMM UrB RAS, December 2008 (Ekaterinburg, Russia).

Dynamic Systems Department: moments in history.

 

Papers

Botkin N.D., Kein V.M., Patsko V.S. The model problem of controlling the lateral motion of an aircraft during landing // Journal of Applied Mathematics and Mechanics, Vol. 48, No. 4, pp. 395–400, 1984.

Kleimenov A.F., Patsko V.S., Ushakov V.N. Approximate Solutions of Differential Games Using Mixed Strategies // Lecture Notes in Control and Information Sciences, 1986, Volume 81, Stochastic Optimization, Pages 669–674.

Zarkh M.A., Patsko V.S. Numerical Solution of a Third-Order Directed Game // Soviet J. Comput. Syst. 26 (4), 1988. P. 92–99.

Botkin N.D., Kein V.M., Patsko V.S., Turova V.L. Aircraft Landing Control in the Presence of Windshear // Problems of Control and Information Theory, Vol. 18 (4), 1989. P. 223–235.

Botkin N.D., Zarkh M.A., Patsko V.S. Numerical solution of linear differential games // Lecture Notes in Control and Information Sciences, vol. 156, 1991, pp. 226–234. DOI: 10.1007/BFb0040243

Patsko V.S., Botkin N.D., Kein V.M., Turova V.L., Zarkh M.A. Control of an aircraft landing in windshear // Journal of Optimization Theory and Applications, November 1994, Volume 83, Issue 2, pp. 237–267.

Kumkov S.I., Patsko V.S. Optimal strategies in a pursuit problem with incomplete information // Journal of Applied Mathematics and Mechanics, vol. 59, No. 1, 1995, pp. 75–85.

Patsko V.S., Turova V.L. Minimum-Time Problem for Linear Second-Order Conflict-Controlled Systems. Proceedings of UKACC International Conference on Control '96, Exeter, UK, 2–5 September 1996, Conf. Publ. No. 427, Vol. 2, pp. 947–952

Patsko V.S. Special Aspects of Convex Hull Constructing in Linear Differential Games of Small Dimension // IFAC Proceedings Volumes, Volume 29, Issue 8, December 1996, pp. 19–24.

Patsko, V.S.; Turova, V.L. Numerical solutions to the minimum-time problem for linear second-order conflict-controlled systems. Bainov, D. (ed.), Proceedings of the 7th International Colloquium on Differential Equations, Plovdiv, Bulgaria, August 18–23, 1996. Utrecht: VSP, 1997, pp. 329–338.

Kumkov, S.S.; Patsko, V.S. Parallel algorithm for construction of singular surfaces in linear differential games. Bainov, D. (ed.), Proceedings of the 8th International Colloquium on Differential Equations, Plovdiv, Bulgaria, August 18–23, 1997. Utrecht: VSP, 1998, pp. 275–284.

Patsko, V.S.; Turova, V.L. Numerical study of the homicidal chauffeur game. Bainov, D. (ed.), Proceedings of the 8th International Colloquium on Differential Equations, Plovdiv, Bulgaria, August 18–23, 1997. Utrecht: VSP, 1998, pp. 363–371.

Averbukh V.L., Kumkov S.S., Shilov E.A., Yurtaev D.A., Zenkov A.I. Specialized scientific visualization systems for optimal control application // Nonsmooth and Discontinuous Problems of Control and Optimization: Proc. IFAC Workshop Chelyabinsk, Russia, 17-20 June, 1998.- New York etc.: Pergamon, 1999. P.71–76.

Kumkov S.S., Patsko V.S. Level Sets of Value Function and Singular Surfaces in Linear Differential Games // Nonsmooth and Discontinuous Problems of Control and Optimization: Proc. IFAC Workshop Chelyabinsk, Russia, 17-20 June, 1998.- New York etc.: Pergamon, 1999. P.143–148.

Patsko, V.S.; Turova, V.L. Numerical solution to the acoustic homicidal chauffeur game // System Modelling and Optimization: methods, theory, and applications: 19th IFIP TC7 Conference on System Modelling and Optimization, July 12–16, 1999, Cambridge, UK / edited by M.J.D.Powell, S.Scholtes, pp. 227–249.

Averbukh V.L., Kumkov S.S., Pykhteev O.A., Yurtaev D.A. Visualization of level sets and singular surfaces in differential games // Proceedings of ALGORITMY 2000, Conference on Scientific Computing, pp. 196–206.

Patsko V.S., Turova V.L. Level Sets of the Value Function in Differential Games with the Homicidal Chauffeur Dynamics // International Game Theory Review, Vol. 3, No. 1, March 2001. pp. 67–112.

Kumkov S.I., Patsko V.S. Informational Sets in a Model Problem of Homing // Journal of Optimization Theory and Applications, Vol. 108, No. 3, 2001, pp. 499–526.

S.S.Kumkov, V.S.Patsko, J.Shinar On level sets with "narrow throats" in linear differential games. Fourth International ISDG Workshop (Goslar, Germany, May 19-21, 2003), Proceedings edited by Michael H. Breitner, pp. 89–114.

Patsko V.S., Pyatko S.G., Fedotov A.A. Three-Dimensional Reachability Set for a Nonlinear Control System // Journal of Computer and Systems Sciences International, May 2003, Volume 42, No. 3, pp. 320–328.

Kumkov S.I., Patsko V.S., Pyatko S.G., Reshetov V.M., Fedotov A.A. Information Sets in the Problem of Observation of Aircraft Motion in a Horizontal Plane // Journal of Computer and Systems Sciences International, July 2003, Volume 42, No. 4, pp. 544–554.

Kumkov S.S., Patsko V.S., Shinar J. On level sets with "narrow" throats in linear differential games // International Game Theory Review, Vol. 7, No. 3, September 2005. pp. 285–312.

Ganebnyi S.A., Kumkov S.S., Patsko V.S. Control design in problems with an unknown level of dynamic disturbance // Journal of Applied Mathematics and Mechanics, vol. 70, 2006, pp. 680–695. DOI: 10.1016/j.jappmathmech.2006.11.003

Patsko V.S. Switching Surfaces in Linear Differential Games // Journal of Mathematical Sciences, vol. 139, no. 5, 2006, pp. 6909–6953.

Kumkov S.I. On Developing Russian–ISO Standard (Guide) to Processing Measurement Information under Conditions of Uncertainty of Measuring Errors and Small Number of Mearurements (on the Basis of Methods of the Interval Analysis) // All-Russian (with international participation) meeting on interval analysis and its applications INTERVAL-06 July 1–4, 2006, Petergof, Russia. Extended abstracts. SPb: VVM, 2006. P. 63–67. (In Russian)

Kumkov S.S, Patsko V.S. Level Sweeping of the Value Function in Linear Differential Games. In book: Advances in Dynamic Games. Part I. Birkhauser Boston 2006, pp. 23–37. DOI: 10.1007/0-8176-4501-2_2

Ganebny S.A., Kumkov S.S., Patsko V.S. Feedback Control in Problems with Unknown Level of Dynamic Disturbance // Proc. 14th Intern. Workshop on Dynamics and Control: Advances in Mechanics: Dynamics and Control / Eds. F.L. Chernousko et al. Moscow: Nauka, 2008. P. 125–132.

Ganebny S.A., Krasov A.I., Patsko V.S., Smolnikova M.A. Problem of vertical passing an obstacle by an aircraft under wind disturbances. // Proceedings of the European Control Conference 2009, Budapest, Hungary, August 23–26, 2009, pp. 103–108.

Ganebnyi S.A., Kumkov S.S., Patsko V.S. Extremal aiming in problems with an unknown level of dynamic disturbance // Journal of Applied Mathematics and Mechanics, vol. 73, 2009, pp. 411–420. DOI: 10.1016/j.jappmathmech.2009.08.010

Ganebny S.A., Patsko V.S., Pyatko S.G. Aircraft Landing Control under Wind Disturbances // Proceedings of the Steklov Institute of Mathematics, 2010, Suppl. 1, pp. S112–S130. DOI: 10.1134/S0081543810050093

Ganebny S.A., Krasov A.I., Patsko V.S., Smol'nikova M.A. Vertical Passage of Obstacles by an Aircraft under Wind Disturbance // Proceedings of the Steklov Institute of Mathematics, 2010, Suppl. 2, pp. S121–S133. DOI: 10.1134/S0081543810060118

Andrey Fedotov, Valerii Patsko and Varvara Turova Reachable Sets for Simple Models of Car Motion / Recent Advances in Mobile Robotics, Edited by Andon Venelinov Topalov, Rijeka: InTech, 2011, 147–172.
The complete book "Recent advances in mobile robotics" is availabe at http://www.intechweb.org/books/show/title/recent-advances-in-mobile-robotics.

Ivanov A.G., Fedotov A.A., Belyakov A.V., Strokov K.V. Identification of Systematic Errors in Radar Azimuth Measurements on the Basis of Observation of Aircraft Motion // Proceedings of the 18th Saint Petersburg International Conference on Integrated Navigation Systems. / Editor Vladimir G. Peshekhonov. – SPb.: State Research Center of the Russian Federation – Concern Central Scientific and Research Institute Elektropribor, JSC, 2011. P. 227–229.

Bedin D.A. Algorithm Using the Kalman Filter for Identification of Radar Systematic Errors in Azimuth Measurements // Proceedings of the 18th Saint Petersburg International Conference on Integrated Navigation Systems. / Editor Vladimir G. Peshekhonov. – SPb.: State Research Center of the Russian Federation – Concern Central Scientific and Research Institute Elektropribor, JSC, 2011. P. 230–232.

Ganebny S.A., Kumkov S.S., Le Menec S., Patsko V.S. Numerical Study of a Linear Differential Game with Two Pursuers and One Evader // Contributions to Game Theory and Management, 2011, Vol. 4, pp. 154–171.

Ganebny S.A., Kumkov S.S., Le Menec S., Patsko V.S. Model Problem in a Line with Two Pursuers and One Evader // Dyn. Games Appl. (2012) 2: pp. 228–257. DOI: 10.1007/s13235-012-0041-z

Patsko V.S., Fedotov A.A., Ganebny S.A., Kumkov S.S. Model Problems of Aircraft Guidance in Education Program on Optimal Control and Differential Games // Proceedings of the 9th IFAC Symposium Advances in Control Education. IFAC, Nizhny Novgorod, Russia, June 19-21, 2012. Pp. 324–329.

Ganebny S.A., Kumkov S.S., Le Menec S., Patsko V.S. Study of Linear Game with Two Pursuers and One Evader: Different Strength of Pursuers // Cardaliaguet P., Cressman R. (eds), Advances in Dynamic Games. Annals of the International Society of Dynamic Games, vol. 12. Birkhauser, Boston, MA, 2012. Pp. 269–292.

Kamneva L.V., Patsko V.S. Semigroup Property of the Program Absorption Operator in Games with Simple Motions on the Plane // Differential Equations, 2013, Vol. 49, No. 11, pp. 1366–1377. DOI: 10.1134/S0012266113110050

Bedin D.A., Ivanov A.G., Fedotov A.A. Geometric Matching of Tracks from Several Radars and Estimation of Systematic Errors in Measurements // Proceedings of the 21th Saint Petersburg International Conference on Integrated Navigation Systems. / Editor Vladimir G. Peshekhonov. – SPb.: State Research Center of the Russian Federation – Concern CSRI Elektropribor, JSC, 2014. P. 152–155.

Kumkov S.S., Patsko V.S. Phenomenon of Narrow Throats of Level Sets of Value Function in Differential Games // Contributions to game theory and management, vol. VII. Collected papers presented on the Seventh International Conference Game Theory and Management / Editors Leon Petrosyan, Nikolay A. Zenkevich. — SPb.: Graduate School of Management SPbSU, 2014. P. 159–180.

Kumkov S.S., Le Menec S., Patsko V.S. Level Sets of the Value Function in Differential Games with Two Pursuers and One Evader. Interval Analysis Interpretation // Math. Comput. Sci., September 2014, vol. 8, Issue 3–4, pp. 443–454. DOI: 10.1007/s11786-014-0203-z

Kumkov S., Patsko V.S., Le Menec S. Two Pursuers and One Evader: Model Differential Game // Proceedings of the 55th Israel Annual Conference on Aerospace Sciences, Tel-Aviv & Haifa, Israel, February 25-26, 2015. ThL2T2-03.pdf. (11 pages)

Bedin D., Fedotov A.A., Ivanov A.G., Patsko V.S., Ganebniy S. Coprocession of Data from Several Radars for Determination of Systematic Errors in Azimuth and Range // Proceedings of the 55th Israel Annual Conference on Aerospace Sciences, Tel-Aviv & Haifa, Israel, February 25-26, 2015. ThL2T3-04.pdf. (15 pages)

Bedin D.A., Ivanov A.G., Fedotov A.A., Ganebny S.A. Package of algorithms for a posteriori determination of radar systematic errors for several radars // Proceedings of the 22nd Saint Petersburg International Conference on Integrated Navigation Systems. / Editor Vladimir G. Peshekhonov. – SPb.: State Research Center of the Russian Federation – Concern CSRI Elektropribor, JSC, 2015. P. 94–96. ISBN 978-5-91995-023-3

Bedin D.A. Model Selection for Radar Registration Errors by Comparison of Radar and ADS-B Data // Proceedings of the 56th Israel Annual Conference on Aerospace Sciences, Tel-Aviv & Haifa, Israel, March 9-10, 2016. ThL2T5-04. (13 pages)

Starodubtsev I.S., Fedotov A.A., Averbukh V.L., Patsko V.S. Reachable Sets for Dubins Car in Control Problems: Physical Visualization // 24th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision. WSCG 2016. Plzen, Czech Republic May 30 – June 3, 2016. Posters Proceedings. Pp. 49–52.

Kumkov S.I. An Estimation Problem of Chemical Process with Confluent Parameters: An Interval Approach // Reliable Computing. 2016. Vol. 22. P. 15–25.

Kumkov S.S., Patsko V.S. Attacker–Defender–Target Problem in the Framework of Space Intercept // Proceedings of the 57th Israel Annual Conference on Aerospace Sciences, Tel-Aviv & Haifa, Israel, March 15-16, 2017. WeL2T3-03 (10 pages).

 

 

 

 

 

 

 

 

 

 

Homepage of V.S. Patsko's Workgroup