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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023 Volume 10, Issue 4, Pages 665–685 (Mi vspua268)

TO THE 300TH ANNIVERSARY OF SPSU

An overview of works of the scientific school created by V. A. Yakubovich on the issues of artificial intelligence and robotics

A. S. Matveev, A. L. Fradkov, A. I. Shepelyavyi

St. Petersburg State University, 7-9 Universitetskaya nab., St. Petersburg 199034, Russian Federation

Abstract: The article presents an overview of the works of the scientific school of V. A. Yakubovich in the field of artificial intelligence, machine learning, adaptive systems, and robotics. The method of recurrent objective inequalities is considered in detail. The significance of the presented results for the further development of cybernetics and artificial intelligence is discussed. Special attention is given to seminal works of V. A. Yakubovich on machine learning and to the development of the concept of finitely converging algorithms for solving recurrent objective inequalities; some typical results on their convergence are discussed in detail for the sake of illustration. The paper distinctly highlights the contribution of the school to the formation and development of the modern theories of adaptive control and mathematical robotics, particularly the theory of adaptive robots. A special section is concerned with adaptive sub-optimal control.

Keywords: artificial intelligence, machine learning, adaptive systems, robotics, Department of Theoretical Cybernetics, St. Petersburg State University, history of science.

UDC: 62.50

MSC: 37N95, 68T05, 68T40, 93C85, 93-03

DOI: 10.21638/spbu01.2023.406



© Steklov Math. Inst. of RAS, 2025