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The 10th International Ye. S. Pyatnitskii Seminar on "The Stability and Oscillations of Non-linear Control Systems" -a conference of the Russian Academy of Sciences for specialists in control, mechanics and applied mathematics -was held on 3-6 June 2008 at the V.A. Trapeznikov Institute of Control Systems (IPU) of the Russian Academy of Sciences. The 10th International Seminar was dedicated to the memory of the prominent specialist in the field of general mechanics and motion stability theory, Academician Valentin Vital'evich Rumyantsev.
Rumyantsev always supported the seminar, was a permanent member of its Programme Committee and repeatedly presented seminar papers. In 1992, he gave the very first plenary paper entitled "A. M. Lyapunov and the development of his ideas in motion stability theory". His last plenary paper was presented in 2006.
In opening the conference, the chairman of the Programme Committee, Academician S. N. Vasil'ev, spoke on the place the seminar occupied in the system of conferences of the Russian Academy of Sciences and on Rumyantsev's support for the seminar.
The main scientific topics of the 10th seminar were: general problems of the theory of stability and stabilization of motion; general problems and methods of the theory of non-linear oscillations; Lyapunov-function methods for non-linear control systems and the Hamilton-Jacobi-Lyapunov-Bellman method in the theory of optimal control and in game control problems; classical mechanics and nonlinear dynamics; problems of the controllability and observability of control systems; problems of robust control; the control of mechanical systems; the stability and control of hybrid systems and systems with switches; applied control problems and computer methods.
The scientific programme consisted of three plenary sessions, 16 sectional meetings and a general discussion. The programme included 11 invited lectures (each 45 minutes long), 13 lectures on the scientific topics of the seminar (each 30 minutes long) and 179 papers (each 20 minutes long). Three additional papers were given outside the programme.
The memorial plenary session (on 3 June) opened with a paper by A. V. Karapetyan (Moscow State University) on "Academician Valentin Vital'evich Rumyantsev". A brief outline of his life, research and teaching activity was given, and his main results in the field of motion stability theory were reviewed, together with his results on the dynamics of bodies with liquid-filled cavities, satellite dynamics and the dynamics of rigid bodies with stationary points, bodies on planes, bodies suspended on strings, etc. Subsequent contributions (F.
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