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A. Yu. Aleksandrov
Researcher at Saint Petersburg State University
Publications - 99
Citations - 757
A. Yu. Aleksandrov is an academic researcher from Saint Petersburg State University. The author has contributed to research in topics: Nonlinear system & Lyapunov function. The author has an hindex of 15, co-authored 80 publications receiving 613 citations. Previous affiliations of A. Yu. Aleksandrov include Russian Academy of Sciences & Saint Petersburg State University of Information Technologies, Mechanics and Optics.
Papers
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Stability analysis for a class of switched nonlinear systems
TL;DR: A sufficient condition in terms of linear inequalities is presented to guarantee the existence of a common Lyapunov function, and thereby to ensure that the switched system is stable for an arbitrary switching signal and any admissible sector nonlinearities.
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On the asymptotic stability of switched homogeneous systems
TL;DR: It is proved that, for any given neighborhood of the origin, one can choose a number L > 0 (dwell time) such that if intervals between consecutive switching times are not smaller than L then any solution of the considered system enters this neighborhood in finite time and remains within it thereafter.
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On the asymptotic stability of solutions of nonlinear systems with delay
TL;DR: In this paper, it was shown that if the order of homogeneity of the right-hand sides is greater than 1, then asymptotic stability persists for all values of delay.
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Delay-independent stability of homogeneous systems
TL;DR: It is proved that the asymptotic stability of the zero solution of the system is preserved for an arbitrary continuous nonnegative and bounded delay and the conditions of stability of time-delay systems by homogeneous approximation are obtained.
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Stability and stabilization of mechanical systems with switching
TL;DR: In this paper, the authors consider hybrid mechanical systems with switched force fields, whose motions are described by differential second-order equations, and propose two approaches to solving problems of analysis of stability and stabilization of an equilibrium position of the named systems.