Short comments to solution continuation method
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Title: Short comments to solution continuation method

Speaker: Prof. Vadim I. Utkin.  

Date/Time: 14th April,Tuesday at 14:40

Place: FENS L030

Abstract: "Short comments to solution continuation method by A.F. Filippov".
Conventional uniqueness-existence theorems are not applicable to differential
equations with discontinuous right hand parts. This is the case for systems with
discontinuous controls, when state trajectories belong to discontinuity surfaces in
the state space. The authors of many publications offered their methods of deriving
equations of sliding modes, or solution continuation on discontinuity surfaces. The
methods could result in differential equations due to uncertainty of equations right
hand sides on these surfaces. The presentation compares different methods, reveals
the reasons of ambiguity. By the author's opinion, all different results are under the
umbrella of the method by A.F. Filippov.
Bio: Prof V. Utkin graduated from Moscow Power Institute (Dipl. Eng.) and received a Ph.D. from the Institute of Control Sciences (Moscow, Russia). He was with the Institute of Control Sciences since 1960, and was Head of the Discontinuous Control Systems Laboratory from 1973 to 1994. He was Ford Chair of Electromechanical Systems from 1994 to 2002 at the Ohio State University.
Prof. Utkin is one of the originators of the concepts of Variable Structure Systems and Sliding Mode Control. He is an author of five books and more than 300 technical papers. In 1975-1978 he was in charge of an international project between his Institute and "Energoinvest", Sarajevo, on the sliding mode control of induction motors. He has worked on the control of D.C., induction, and synchronous drives using sliding mode techniques in metal-cutting machine tools, process control and electric cars. His current research interests are the control of infinite-dimensional plants (including flexible manipulators), sliding modes in discrete time systems, microprocessor implementation of sliding mode control, control of electric drives, alternators and power converters, robotics and motion control.
He is an Honorary Doctor of the University of Sarajevo (Yugoslavia, 1978) and University Rovira i Virgili (Spain, 2011), IEEE Fellow.  In 1972 he was awarded the Lenin Prize (the highest scientific award in the former USSR), Oldenburger medal of ASME (2003), Humboldt Award (Germany, 2005),  elected as a Foreign member of Science and Art Academy of Bosnia and Herzegovina (2008).
Prof. Utkin was IPC chairman of 1990 IFAC Congress in Tallinn; now he is Associate Editor of "International Journal of Control".
Currently Prof. Utkin teaches courses on control principles for undergraduates (Principles of Automatic Control), and courses in Optimal control, State Methods for Dynamic Systems Analysis and Control and Sliding mode control in electromechanical systems at the graduate level.
Prof. Utkin has held visiting positions at universities in the USA, UK, Japan, Italy, Spain and Germany. He holds appointments in the Control Research Laboratory of the Department of Electrical Engineering and in the Department of Mechanical Engineering, where he teaches in the System Dynamics, Measurements and Controls program.