A Great Loss to the Control Community Vladimir Andreevich Yakubovich

摘要

Vladimir Andreevich Yakubovich was bora in Novosibirsk on October 21, 1926. In 1949 he graduated from the Faculty of Mechanics and Mathematics of the Moscow State University. In 1956 he joined the Faculty of Mathematics and Mechanics of Leningrad University where he was the founder and chair of the Department of Theoretical Cybernetics. As a researcher, Yakubovich had a very wide range of scientific interests. He first concentrated on linear periodic Hamiltonian systems where he obtained some profound results in studies of the structure of functional space of Hamiltonians, the construction of various criteria for stability and instability, the establishment of a new geometrical approach to the theory of oscillations of linear Hamiltonian systems. Yakubovich made some important findings in the theory of parametric resonance. He demonstrated that the method of constructing the boundaries of the dynamic instability domains that was used in the practice of engineering calculations may result in the loss of some instability domains and proposed a method enabling identification of all domains of dynamic instability.