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

1 citations · 1 across the 22 of their papers we have counts for

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24 papers

math.OC2026

Resilient Extremum Seeking Control for Cyber-Physical Systems Under Denial-of-Service Attacks

Filipe da Silva Bastos Teixeira, Pedro Henrique Silva Coutinho, Tiago Roux Oliveira +1

Extremum seeking control (ESC) relies on deliberately injected excitation to extract optimization information from measured outputs, making its networked implementation particularl…

math.OC2026

Extremum Seeking Control: Three Revolutions and the Road Ahead

Tiago Roux Oliveira

The history of extremum seeking is not merely the history of an algorithm; it is the history of an idea. Few ideas in control engineering have demonstrated the remarkable longevity…

math.OC2026

Towards Co-Designed Event-Triggered Extremum Seeking

Roberto Luo, Pedro Henrique Silva Coutinho, Victor Hugo Pereira Rodrigues +2

This paper studies event-triggered gradient-based multivariable extremum seeking for nonlinear maps with polytopic Hessian uncertainty. Unlike existing event-triggered extremum-see…

math.OC2026

Event-Triggered Discrete-Time Multivariable Extremum Seeking Systems

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

This paper introduces a discrete-time event-triggered extremum seeking framework for real-time optimization of multivariable nonlinear systems. In contrast to conventional discrete…

math.OC2026

Discrete-Time Event-Triggered Extremum Seeking

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

This paper proposes a discrete-time event-triggered extremum seeking control scheme for real-time optimization of nonlinear systems. Unlike conventional discrete-time implementatio…

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.OC2026

Extremum Seeking Control for Wave-PDE Actuation with Distributed Effects

Elisio Juvenal Muchave, Pedro Henrique Silva Coutinho, Tiago Roux Oliveira +1

This paper deals with the gradient-based extremum seeking control (ESC) with actuation dynamics governed by distributed wave partial differential equations (PDEs). To achieve the c…

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

Extremum Seeking Control for Multivariable Maps under Actuator Saturation

Enzo Ferreira Tomaz Silva, Pedro Henrique Silva Coutinho, Tiago Roux Oliveira +1

This paper deals with the gradient-based extremum seeking control for multivariable maps under actuator saturation. By exploiting a polytopic embedding of the unknown Hessian, we d…

math.OC2025

Multivariable Extremum Seeking Unit-Vector Control Design

Enzo Ferreira Tomaz Silva, Pedro Henrique Silva Coutinho, Tiago Roux Oliveira +1

This paper investigates multivariable extremum seeking using unit-vector control. By employing the gradient algorithm and a polytopic embedding of the unknown Hessian matrix, we es…

math.OC2025

Unit-Vector Control Design under Saturating Actuators

Andevaldo da Encarnação Vitório, Pedro Henrique Silva Coutinho, Iury Bessa +2

This paper deals with unit vector control design for multivariable polytopic uncertain systems under saturating actuators. For that purpose, we propose LMI-based conditions to desi…

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

Multivariable Stochastic Newton-Based Extremum Seeking with Delays

Paulo Cesar Souza Silva, Paulo Cesar Pellanda, Tiago Roux Oliveira

This paper presents a Newton-based stochastic extremum-seeking control method for real-time optimization in multi-input systems with distinct input delays. It combines predictor-ba…

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

A Systematic LMI Approach to Design Multivariable Sliding Mode Controllers

Pedro Henrique Silva Coutinho, Iury Bessa, Victor Hugo Pereira Rodrigues +1

This paper deals with sliding mode control for multivariable polytopic uncertain systems. We provide systematic procedures to design variable structure controllers (VSCs) and unit-…

math.OC2024

Population Control of Giardia lamblia

Victor Hugo Pereira Rodrigues, Maria Fantinatti, Tiago Roux Oliveira +1

Giardia lamblia is a flagellate intestinal protozoan with global distribution causing the disease known as giardiasis. This parasite is responsable for 35.1% of outbreaks of diarrh…

math.OC2024

Extremum Seeking Control for Scalar Maps with Distributed Diffusion PDEs

Pedro Henrique Silva Coutinho, Tiago Roux Oliveira, Miroslav Krstic

This paper deals with the gradient extremum seeking control for static scalar maps with actuators governed by distributed diffusion partial differential equations (PDEs). To achiev…

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…

eess.SY2024

Second-Order Newton-Based Extremum Seeking for Multivariable Static Maps

Azad Ghaffari, Tiago Roux Oliveira

A second-order Newton-based extremum seeking (SONES) algorithm is presented to estimate directional inflection points for multivariable static maps. The design extends the first-or…