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20182026
most citedModel-free source seeking of exponentially convergent unicycle: theoretical and robotic experimental results

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math.OC2025

Model-free source seeking of exponentially convergent unicycle: theoretical and robotic experimental results

Rohan Palanikumar, Ahmed A. Elgohary, Victoria Grushkovskaya +1

This paper introduces a novel model-free, real-time unicycle-based source seeking design. This design autonomously steers the unicycle dynamic system towards the extremum point of…

math.OC2025

Extremum Seeking with High-Order Lie Bracket Approximations: Achieving Exponential Decay Rate

Victoria Grushkovskaya, Sameh A. Eisa

This paper focuses on the further development of the Lie bracket approximation approach for extremum seeking systems. Classical results in this area provide extremum seeking algori…

math.OC2025

On classical solutions in the stabilization problem for nonholonomic control systems with time-varying feedback laws

Alexander Zuyev, Victoria Grushkovskaya

We consider the stabilization problem for driftless control-affine systems under the bracket-generating condition. In our previous works, a class of time-varying feedback laws has…

math.OC2019

On exponential stabilization of nonholonomic systems with time-varying drift

Victoria Grushkovskaya, Alexander Zuyev

A class of nonlinear control-affine systems with bounded time-varying drift is considered. It is assumed that the control vector fields together with their iterated Lie brackets sa…

math.OC2019

Partial Stability Concept in Extremum Seeking Problems

Victoria Grushkovskaya, Alexander Zuyev

The paper deals with the extremum seeking problem for a class of cost functions depending only on a part of state variables of a control system. This problem is related to the conc…

math.OC2019

Stabilization of non-admissible curves for a class of nonholonomic systems

Victoria Grushkovskaya, Alexander Zuyev

The problem of tracking an arbitrary curve in the state space is considered for underactuated driftless control-affine systems. This problem is formulated as the stabilization of a…