activity
20072026
most citedOn a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties

108 citations · 262 across the 36 of their papers we have counts for

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Showing 2020Show all

5 papers · 1 filter

math.OC2020★ 2 cited

Stabilization of Crystallization Models Governed by Hyperbolic Systems

Alexander Zuyev, Peter Benner

This paper deals with mathematical models of continuous crystallization described by hyperbolic systems of partial differential equations coupled with ordinary and integro-differen…

math.OC2020

Control design for partial stabilization of nonlinear mechanical systems with random disturbances

Alexander Zuyev, Iryna Vasylieva

The problem of partial stabilization for nonlinear control systems described by the Ito stochastic differential equations is considered. For these systems, we propose a constructiv…

math.OC2020★ 6 cited

On the Eigenvalue Distribution for a Beam with Attached Masses

Julia Kalosha, Alexander Zuyev, Peter Benner

We study a mathematical model of a hinged flexible beam with piezoelectric actuators and electromagnetic shaker in this paper. The shaker is modelled as a mass and spring system at…

math.OC2020★ 4 cited

Extremum Seeking Approach for Nonholonomic Systems with Multiple Time Scale Dynamics

Victoria Grushkovskaya, Alexander Zuyev

In this paper, a class of nonlinear driftless control-affine systems satisfying the bracket generating condition is considered. A gradient-free optimization algorithm is developed…

math.OC2020★ 2 cited

Partial stabilization of nonholonomic systems with application to multi-agent coordination

Victoria Grushkovskaya, Alexander Zuyev

This paper focuses on the problem of constructing time-varying feedback laws that asymptotically stabilize a given part of the state variables for nonlinear control-affine systems.…