Joint meeting of the St. Petersburg Mathematical Society, the Section of Theoretical Mechanics, the Section of Mathematics of the House of Scientists of the Russian Academy of Sciences, and the Seminar on the History of Mathematics
On the works on analytical mechanics at the department of theoretical and applied mechanics of Saint Petersburg State University during the 70-year period (1950−2020). The general Chebyshev problem.
Abstract:
The lecture presents a brief review of the works on analytical mechanics performed at the department from its foundation to this day. The main focus is on the period of 1950−2020. The author considers the formulation and solution of the general Chebyshev problem to be the great achievement of “the Polyakhov school” on analytical mechanics. Actually, a new class of problems in the control theory is introduced by such a formulation. For their successful solution, the theory of motion of non-holonomic systems with high-order constraints which has been developed at the department of theoretical and applied mechanics for many years is offered to be used.
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