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20242026
most citedNash Equilibrium Seeking for Noncooperative Duopoly Games via Event-Triggered Control

1 citations · 1 across the 10 of their papers we have counts for

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11 papers

math.OC2026

Event-Triggered Newton Extremum Seeking for Multivariable Optimization

Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstic +1

This paper presents a static event-triggered control strategy for multivariable Newton-based extremum seeking. The proposed method integrates event-triggered actuation into the New…

math.OC2025

Extremum-Seeking Boundary Control for Schrödinger-Type PDEs

Paulo Henrique Foganholo Biazetto, Gustavo Artur de Andrade, Tiago Roux Oliveira +1

This paper addresses the design and analysis of an extremum-seeking (ES) controller for scalar static maps in the context of infinite-dimensional dynamics governed by complex-value…

math.OC2025

Gradient- and Newton-Based Unit Vector Extremum Seeking Control

Roberto Luo, Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira +1

This paper presents novel methods for achieving stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Drawing inspiration…

math.OC2025

Distributed Event-Triggered Nash Equilibrium Seeking for Noncooperative Games

Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstic +1

We propose locally convergent Nash equilibrium seeking algorithms for -player noncooperative games, which use distributed event-triggered pseudo-gradient estimates. The proposed…

math.OC2025

Event-Triggered Source Seeking Control for Nonholonomic Systems

Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstic

This paper introduces an event-triggered source seeking control (ET-SSC) for autonomous vehicles modeled as the nonholonomic unicycle. The classical source seeking control is enhan…

math.OC2025

Extremum Seeking Boundary Control for Euler-Bernoulli Beam PDEs

Paulo H. F. Biazetto, Gustavo A. de Andrade, Tiago Roux Oliveira +1

This paper presents the design and analysis of an extremum seeking (ES) controller for scalar static maps in the context of infinite-dimensional dynamics governed by the 1D Euler-B…

math.OC2025

Event-Triggered Newton-Based Extremum Seeking Control

Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstic +1

This paper proposes the incorporation of static event-triggered control in the actuation path of Newton-based extremum seeking and its comparison with the earlier gradient version.…

math.OC2025

Lie-Bracket Nash Equilibrium Seeking with Bounded Update Rates for Noncooperative Games

Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstic +1

This paper proposes a novel approach for local convergence to Nash equilibrium in quadratic noncooperative games based on a distributed Lie-bracket extremum seeking control scheme.…

math.OC2024

Extremum and Nash Equilibrium Seeking with Delays and PDEs: Designs & Applications

Tiago Roux Oliveira, Miroslav Krstić, Tamer Başar

The development of extremum seeking (ES) has progressed, over the past hundred years, from static maps, to finite-dimensional dynamic systems, to networks of static and dynamic age…

math.OC2024

Sliding-Mode Nash Equilibrium Seeking for a Quadratic Duopoly Game

Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstić +1

This paper introduces a new method to achieve stable convergence to Nash equilibrium in duopoly noncooperative games. Inspired by the recent fixed-time Nash Equilibrium seeking (NE…

math.OC2024★ 1 cited

Nash Equilibrium Seeking for Noncooperative Duopoly Games via Event-Triggered Control

Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstić +1

This paper proposes a novel approach for locally stable convergence to Nash equilibrium in duopoly noncooperative games based on a distributed event-triggered control scheme. The p…