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On a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/0167-6911(83)90021-xopenalex-snapshot
Some remarks on a conjecture in parameter adaptive control
inferredcites →https://doi.org/10.1016/j.automatica.2007.10.016openalex-snapshot
On the choice of dither in extremum seeking systems: A case study
inferredcites →https://doi.org/10.1016/j.automatica.2013.02.016openalex-snapshot
Lie bracket approximation of extremum seeking systems
inferredcites →https://doi.org/10.1016/j.automatica.2014.10.078openalex-snapshot
A time-varying extremum-seeking control approach
inferredcites →https://doi.org/10.1016/j.automatica.2016.02.023openalex-snapshot
Bounded extremum seeking with discontinuous dithers
inferredcites →https://doi.org/10.1016/j.automatica.2017.05.002openalex-snapshot
Extremum seeking for dynamic maps using Lie brackets and singular perturbations
inferredcites →https://doi.org/10.1016/j.ifacol.2017.08.2106openalex-snapshot
Exponential Stability for Extremum Seeking Control Systems
inferredcites →https://doi.org/10.1016/j.jprocont.2012.01.022openalex-snapshot
Advanced algorithms for gradient estimation in one- and two-parameter extremum seeking controllers
inferredcites →https://doi.org/10.1016/j.na.2012.10.007openalex-snapshot
Asymptotic behavior of solutions of a nonlinear system in the critical case of pairs of purely imaginary eigenvalues
inferredcites →https://doi.org/10.1016/j.sysconle.2013.10.004openalex-snapshot
Extremum seeking with bounded update rates
inferredcites →https://doi.org/10.1016/s0005-1098(03)00105-5openalex-snapshot
Adaptive extremum seeking control of nonlinear dynamic systems with parametric uncertainties
inferredcites →https://doi.org/10.1016/s0005-1098(99)00183-1openalex-snapshot
Stability of extremum seeking feedback for general nonlinear dynamic systems
inferredcites →https://doi.org/10.1109/cdc.2010.5717929openalex-snapshot
A unifying approach to extremum seeking: Adaptive schemes based on estimation of derivatives
inferredcites →https://doi.org/10.1109/cdc.2013.6760498openalex-snapshot
Swinging up the Stephenson-Kapitza pendulum
inferredcites →https://doi.org/10.1109/ecc.2016.7810346openalex-snapshot
Time-varying stabilization of a class of driftless systems satisfying second-order controllability conditions
inferredcites →https://doi.org/10.1109/tac.2012.2225514openalex-snapshot
Minimum-Seeking for CLFs: Universal Semiglobally Stabilizing Feedback Under Unknown Control Directions
inferredcites →https://doi.org/10.1109/tac.2014.2304399openalex-snapshot
Optimal Stabilization Problem With Minimax Cost in a Critical Case
inferredcites →https://doi.org/10.1109/tac.2016.2603607openalex-snapshot
Asymptotic Stability of Perturbation-Based Extremum-Seeking Control for Nonlinear Plants
inferredcites →https://doi.org/10.1115/1.4025457openalex-snapshot
Non-C2 Lie Bracket Averaging for Nonsmooth Extremum Seekers
inferredcites →https://doi.org/10.1137/140999955openalex-snapshot
Exponential Stabilization of Nonholonomic Systems by Means of Oscillating Controls
inferredcites →https://doi.org/10.1201/b10384-93openalex-snapshot
Volterra and Fliess Series Expansions for Nonlinear Systems
inferredcites →https://doi.org/10.23919/ecc.2009.7074649openalex-snapshot
Extremum seeking control: Convergence analysis
inferredcites →https://doi.org/10.3166/ejc.15.331-347openalex-snapshot
Extremum Seeking Control: Convergence Analysis
inferredcites →https://doi.org/10.3182/20070606-3-mx-2915.00019openalex-snapshot
EFFECT OF EXCITATION FREQUENCY IN PERTURBATION-BASED EXTREMUM SEEKING METHODS
inferredcites →https://doi.org/10.5860/choice.41-4064openalex-snapshot
Real-time optimization by extremum-seeking control

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4523004openalex-extracted
inferred← citeshttps://doi.org/10.1002/acs.3097openalex-snapshot
Extremum seeking for optimal control problems with unknown time‐varying systems and unknown objective functions
inferred← citeshttps://doi.org/10.1002/acs.3141openalex-snapshot
Newton‐based extremum seeking of higher‐derivative maps with time‐varying delays
inferred← citeshttps://doi.org/10.1002/acs.3151openalex-snapshot
Multivariable extremum seeking control via cyclic search and monitoring function
inferred← citeshttps://doi.org/10.1002/acs.3152openalex-snapshot
Extremum seeking control of nonlinear dynamic systems using Lie bracket approximations
inferred← citeshttps://doi.org/10.1002/acs.3189openalex-snapshot
Data‐enabled extremum seeking: A cooperative concurrent learning‐based approach
inferred← citeshttps://doi.org/10.1002/acs.3223openalex-snapshot
Energy‐efficient operation of indirect adiabatic data center cooling systems via Newton‐like phasor extremum seeking control
inferred← citeshttps://doi.org/10.1002/pamm.201800298openalex-snapshot
On extremum seeking controllers based on the Lie bracket approximation in domains with obstacles
inferred← citeshttps://doi.org/10.1002/pamm.202000024openalex-snapshot
Stability analysis of nonholonomic extremum seeking systems via Lie brackets approximations
inferred← citeshttps://doi.org/10.1002/rnc.7221openalex-snapshot
Stabilization under unknown control directions and disturbed measurements via a time‐delay approach to extremum seeking
inferred← citeshttps://doi.org/10.1007/s11424-024-3447-yopenalex-snapshot
A Novel Extremum Seeking Control to Enhance Convergence and Robustness in the Presence of Nonlinear Dynamic Sensors
inferred← citeshttps://doi.org/10.1007/s12555-023-0224-yopenalex-snapshot
Gradient and Lie Bracket Estimation of Extremum Seeking Systems: A Novel Geometric-based Kalman Filter and Relaxed Time-dependent Stability Condition
inferred← citeshttps://doi.org/10.1016/j.arcontrol.2023.100926openalex-snapshot
Multi-time scale control and optimization via averaging and singular perturbation theory: From ODEs to hybrid dynamical systems
inferred← citeshttps://doi.org/10.1016/j.arcontrol.2024.100941openalex-snapshot
Optimization algorithms as robust feedback controllers
inferred← citeshttps://doi.org/10.1016/j.automatica.2018.11.055openalex-snapshot
Extremum seeking control with an adaptive dither signal
inferred← citeshttps://doi.org/10.1016/j.automatica.2019.108691openalex-snapshot
A Lie bracket approximation approach to distributed optimization over directed graphs
inferred← citeshttps://doi.org/10.1016/j.automatica.2020.109432openalex-snapshot
Extremum seeking control with attenuated steady-state oscillations
inferred← citeshttps://doi.org/10.1016/j.automatica.2021.109735openalex-snapshot
Lie bracket approximation-based extremum seeking with vanishing input oscillations
inferred← citeshttps://doi.org/10.1016/j.automatica.2021.110041openalex-snapshot
ISS-like properties in Lie-bracket approximations and application to extremum seeking
inferred← citeshttps://doi.org/10.1016/j.automatica.2023.110931openalex-snapshot
Learning generalized Nash equilibria in monotone games: A hybrid adaptive extremum seeking control approach
inferred← citeshttps://doi.org/10.1016/j.automatica.2023.110971openalex-snapshot
Lie-brackets-based averaging of affine systems via a time-delay approach
inferred← citeshttps://doi.org/10.1016/j.automatica.2023.111481openalex-snapshot
100 years of extremum seeking: A survey
inferred← citeshttps://doi.org/10.1016/j.automatica.2025.112392openalex-snapshot
Exponential and prescribed-time extremum seeking with unbiased convergence
inferred← citeshttps://doi.org/10.1016/j.automatica.2026.112950openalex-snapshot
Higher-order Lie bracket approximation and averaging of control-affine systems with application to extremum seeking
inferred← citeshttps://doi.org/10.1016/j.automatica.2026.113112openalex-snapshot
Hybrid minimum-seeking in synergistic Lyapunov functions: Robust global stabilization under unknown control directions
inferred← citeshttps://doi.org/10.1016/j.automatica.2026.113297openalex-snapshot
Input-to-state stabilization for a class of normal form systems using extremum seeking
inferred← citeshttps://doi.org/10.1016/j.ejcon.2021.06.029openalex-snapshot
Robustness to delay mismatch in extremum seeking
inferred← citeshttps://doi.org/10.1016/j.eswa.2024.125204openalex-snapshot
Model-free stabilization via Extremum Seeking using a cost neural estimator
inferred← citeshttps://doi.org/10.1016/j.ifacol.2019.11.771openalex-snapshot
On exponential stabilization of nonholonomic systems with time-varying drift
inferred← citeshttps://doi.org/10.1016/j.ifacol.2019.12.039openalex-snapshot
DEES: A Class of Data-Enabled Robust Feedback Algorithms for Real-Time Optimization
inferred← citeshttps://doi.org/10.1016/j.ifacol.2019.12.041openalex-snapshot
Partial Stability Concept in Extremum Seeking Problems
inferred← citeshttps://doi.org/10.1016/j.ifacol.2019.12.042openalex-snapshot
Extremum Seeking Algorithms based on Non-Commutative Maps
inferred← citeshttps://doi.org/10.1016/j.ifacol.2019.12.063openalex-snapshot
Newton-like phasor extremum seeking control with application to cooling data centers
inferred← citeshttps://doi.org/10.1016/j.ifacol.2020.12.110openalex-snapshot
Robust Time-Varying Continuous-Time Optimization with Pre-Defined Finite-Time Stability
inferred← citeshttps://doi.org/10.1016/j.ifacol.2020.12.1225openalex-snapshot
Acceleration-Actuated Source Seeking Without Position and Velocity Sensing
inferred← citeshttps://doi.org/10.1016/j.ifacol.2020.12.1529openalex-snapshot
Extremum Seeking Approach for Nonholonomic Systems with Multiple Time Scale Dynamics
inferred← citeshttps://doi.org/10.1016/j.ifacol.2023.10.1797openalex-snapshot
A time-delay approach to stabilization by extremum seeking controller via simplified ISS analysis
inferred← citeshttps://doi.org/10.1016/j.ifacol.2025.12.207openalex-snapshot
Model-Free and Real-Time Unicycle-Based Source Seeking with Differential Wheeled Robotic Experiments
inferred← citeshttps://doi.org/10.1016/j.ifacsc.2026.100378openalex-snapshot
Model-free source seeking of exponentially convergent unicycle: Theoretical and robotic experimental results
inferred← citeshttps://doi.org/10.1016/j.ifacsc.2026.100394openalex-snapshot
Model-free optimization and control of rigid body dynamics: An extremum seeking for vibrational stabilization approach
inferred← citeshttps://doi.org/10.1016/j.isatra.2025.10.012openalex-snapshot
Global asymptotic practical stability of perturbation-based extremum-seeking control for complex nonlinear systems via small-gain approach
inferred← citeshttps://doi.org/10.1016/j.physleta.2023.129208openalex-snapshot
Influence of the commutator properties of Hamiltonians on the robustness of quantum circuits
inferred← citeshttps://doi.org/10.1016/j.sysconle.2021.105004openalex-snapshot
Extremum seeking boundary control for PDE–PDE cascades
inferred← citeshttps://doi.org/10.1016/j.sysconle.2023.105481openalex-snapshot
Nonsmooth optimization by Lie bracket approximations into random directions
inferred← citeshttps://doi.org/10.1016/j.sysconle.2023.105534openalex-snapshot
Inverse optimal extremum seeking under delays
inferred← citeshttps://doi.org/10.1016/j.sysconle.2024.105881openalex-snapshot
Initialization-free Lie-bracket Extremum Seeking
inferred← citeshttps://doi.org/10.1080/00207179.2020.1756415openalex-snapshot
Time-varying continuous-time optimisation with pre-defined finite-time stability
inferred← citeshttps://doi.org/10.1088/1742-6596/1730/1/012076openalex-snapshot
Optimal Control and Stability Analysis of Nonlinear Control-Affine Systems
inferred← citeshttps://doi.org/10.1109/cdc.2017.8263956openalex-snapshot
Distributed extremum seeking over directed graphs
inferred← citeshttps://doi.org/10.1109/cdc.2018.8619442openalex-snapshot
Characterizing the learning dynamics in extremum seeking: The role of gradient averaging and non-convexity
inferred← citeshttps://doi.org/10.1109/cdc.2018.8619556openalex-snapshot
Extremum Seeking for Force and Torque Actuated Systems
inferred← citeshttps://doi.org/10.1109/cdc40024.2019.9029908openalex-snapshot
CODES: Cooperative Data-Enabled Extremum Seeking for Multi-Agent Systems
inferred← citeshttps://doi.org/10.1109/cdc45484.2021.9683422openalex-snapshot
A Note on Nussbaum-type Control and Lie-bracket Approximation
inferred← citeshttps://doi.org/10.1109/cdc49753.2023.10383569openalex-snapshot
A Robust Time-Delay Approach to Continuous-Time Extremum Seeking for Multi-Variable Static Map
inferred← citeshttps://doi.org/10.1109/cdc49753.2023.10384103openalex-snapshot
Exponential Extremum Seeking with Unbiased Convergence
inferred← citeshttps://doi.org/10.1109/cdc51059.2022.9992696openalex-snapshot
A time-delay approach to Lie-brackets-based averaging of affine systems
inferred← citeshttps://doi.org/10.1109/cdc56724.2024.10886141openalex-snapshot
Using artificial delays for stabilization of linear second-order systems under unknown control directions by extremum seeking controller
inferred← citeshttps://doi.org/10.1109/cdc56724.2024.10886836openalex-snapshot
Inferring Global Exponential Stability Properties using Lie-bracket Approximations
inferred← citeshttps://doi.org/10.1109/cdc57313.2025.11312854openalex-snapshot
Extremum Seeking with High-Order Lie Bracket Approximations: Achieving Exponential Decay Rate
inferred← citeshttps://doi.org/10.1109/codit66093.2025.11321555openalex-snapshot
A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction
inferred← citeshttps://doi.org/10.1109/etfa45728.2021.9613455openalex-snapshot
Adaptive Decoupling of Multivariable Systems Using Extremum-Seeking Approach
inferred← citeshttps://doi.org/10.1109/iros60139.2025.11246163openalex-snapshot
Data-driven Visual Servoing of Flexible Continuum Robots in Constrained Environments
inferred← citeshttps://doi.org/10.1109/lcsys.2018.2849596openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/lcsys.2022.3178142openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/lcsys.2024.3406931openalex-snapshot
Design of Stabilizing Feedback Controllers for High-Order Nonholonomic Systems
inferred← citeshttps://doi.org/10.1109/lcsys.2024.3420182openalex-snapshot
Step-Size Rules for Lie Bracket-Based Extremum Seeking With Asymptotic Convergence Guarantees
inferred← citeshttps://doi.org/10.1109/lcsys.2025.3570767openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/mcs.2025.3646104openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/med61351.2024.10566130openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/romoco.2019.8787353openalex-snapshot
On stabilization of nonlinear systems with drift by time-varying feedback laws
inferred← citeshttps://doi.org/10.1109/tac.2020.3004786openalex-snapshot
Normalized Extremum Seeking and Its Application to Nonholonomic Source Localization
inferred← citeshttps://doi.org/10.1109/tac.2021.3063700openalex-snapshot
Nonsmooth Extremum Seeking Control With User-Prescribed Fixed-Time Convergence
inferred← citeshttps://doi.org/10.1109/tac.2021.3129741openalex-snapshot
Gradient Approximation and Multivariable Derivative-Free Optimization Based on Noncommutative Maps
inferred← citeshttps://doi.org/10.1109/tac.2022.3168527openalex-snapshot
Fixed-Time Nash Equilibrium Seeking in Time-Varying Networks
inferred← citeshttps://doi.org/10.1109/tac.2022.3171306openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tac.2025.3529375openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tcst.2021.3136133openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tcst.2023.3234495openalex-snapshot
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inferred← citeshttps://doi.org/10.1109/tsmc.2022.3171132openalex-snapshot
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inferred← citeshttps://doi.org/10.1115/1.4048586openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/18m117131xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1137/18m1210794openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/22m1505566openalex-snapshot
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inferred← citeshttps://doi.org/10.15407/visn2018.08.066openalex-snapshot
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inferred← citeshttps://doi.org/10.15407/visn2020.01.029openalex-snapshot
Математична теорія керування: нелінійна динаміка та інженерні застосування
inferred← citeshttps://doi.org/10.20906/sbai.v1i1.2563openalex-snapshot
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inferred← citeshttps://doi.org/10.23919/acc45564.2020.9147549openalex-snapshot
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inferred← citeshttps://doi.org/10.23919/acc45564.2020.9147773openalex-snapshot
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inferred← citeshttps://doi.org/10.23919/acc45564.2020.9147809openalex-snapshot
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inferred← citeshttps://doi.org/10.23919/acc63710.2025.11107902openalex-snapshot
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inferred← citeshttps://doi.org/10.23919/ecc.2018.8550562openalex-snapshot
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inferred← citeshttps://doi.org/10.23919/ecc.2019.8795948openalex-snapshot
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inferred← citeshttps://doi.org/10.23919/ecc64448.2024.10591268openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/6.2024-0724openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/6.2026-0633openalex-snapshot
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inferred← citeshttps://doi.org/10.2514/6.2026-2474openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1805.05991openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1809.04532openalex-snapshot
Characterizing the learning dynamics in extremum seeking
inferred← citeshttps://doi.org/10.48550/arxiv.1912.06999openalex-snapshot
Fixed-Time Extremum Seeking
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