activity
20142026
most citedDeep Learning of Delay-Compensated Backstepping for Reaction-Diffusion PDEs

9 citations · 57 across the 42 of their papers we have counts for

collaborators

45 papers

math.OC2026

Inverse Optimal Feedback Stabilization of 3D Nonholonomic Vehicles in Spherical Coordinates

Kwang Hak Kim, Mamadou Diagne, Miroslav Krstic

Inverse optimal control provides optimality and robustness guarantees without solving the Hamilton--Jacobi--Bellman (HJB) equation, but its application to 3D nonholonomic vehicles…

math.OC2026

Switched Event-Triggered Adaptive Control of Reaction-Diffusion PDE-ODE with Neural Operator Implementation

Hongpeng Yuan, Ji Wang, Mamadou Diagne

This paper develops a switched event-triggered adaptive boundary control for a class of reaction-diffusion PDE-ODE cascade systems, where the system and input matrices in the ODE a…

math.OC2026

Multi-layer Predictor Feedback Design for Nonlinear Integro-Differential Equations with State-dependent Input Delays

Tong Li, Peipei Shang, Mamadou Diagne

We develop a novel multi-layer predictor-feedback to achieve exact compensation of state-dependent input delay of general nonlinear integro-differential equations. The system of in…

math.OC2026

Observer-Based Performance-Barrier Event-Triggered Control of Linear Hyperbolic PDEs

Eranda Somathilake, Mamadou Diagne

Performance-barrier event-triggered control (P-ETC) is a methodology implemented to increase the dwell-times between events while still preserving a prescribed performance of the s…

math.OC2026

Exponential Stabilization of Moving Shockwave in ARZ Traffic Model via Boundary Control: Explicit Gains and Arbitrary Decay Rate

Mina Cao, Mamadou Diagne, Peipei Shang +1

This paper develops boundary feedback controls to stabilize traffic congestion toward a predefined shock equilibrium in the Aw-Rascle-Zhang (ARZ) traffic flow model. We transform t…

eess.SY2025

When classical predictors fail: an exact network outflowpredictor for heterogeneous multi-agent systems with communication delays

Qin Fang, Mamadou Diagne, Yang Zhu

This paper develops an information outflow predictor-feedback framework for the exact compensation of constant but nonuniform communication delays in the output synchronization pro…

math.OC2025

Distributed Time-Varying Optimization via Unbiased Extremum Seeking

Xuebin Li, Xuefei Yang, Emilia Fridman +2

This paper proposes a novel distributed optimization framework that addresses time-varying optimization problems without requiring explicit derivative information of the objective…

math.OC2025★ 4 cited

Constant-Sum High-Order Barrier Functions for Safety Between Parallel Boundaries

Kwang Hak Kim, Mamadou Diagne, Miroslav Krstić

This paper takes a step towards addressing the difficulty of constructing Control Barrier Functions (CBFs) for parallel safety boundaries. A single CBF for both boundaries has been…

math.OC2025

DeepONet of dynamic event-triggered backstepping boundary control for reaction-diffusion PDEs

Hongpeng Yuan, Ji Wang, Mamadou Diagne

We present an event-triggered boundary control scheme for a class of reaction-diffusion PDEs using operator learning and backstepping method. Our first-of-its-kind contribution aim…

eess.SY2025

Performance-Barrier Event-Triggered PDE Control of Traffic Flow

Peihan Zhang, Bhathiya Rathnayake, Mamadou Diagne +1

For stabilizing stop-and-go oscillations in traffic flow by actuating a variable speed limit (VSL) at a downstream boundary of a freeway segment, we introduce event-triggered PDE b…

math.OC2024★ 1 cited

Robust Control Barrier Function Design for High Relative Degree Systems: Application to Unknown Moving Obstacle Collision Avoidance

Kwang Hak Kim, Mamadou Diagne, Miroslav Krstić

In safety-critical control, managing safety constraints with high relative degrees and uncertain obstacle dynamics pose significant challenges in guaranteeing safety performance. R…

eess.SY2024★ 1 cited

Stabilization of Predator-Prey Age-Structured Hyperbolic PDE when Harvesting both Species is Inevitable

Carina Veil, Miroslav Krstić, Iasson Karafyllis +2

Populations do not only interact over time but also age over time. It is therefore common to model them as age-structured PDEs, where age is the space variable. Since the models al…

math.OC2024

Setpoint Tracking and Disturbance Attenuation for Gas Pipeline Flow Subject to Uncertainties using Backstepping

Bhathiya Rathnayake, Anatoly Zlotnik, Svetlana Tokareva +1

In this paper, we consider the problem of regulating the outlet pressure of gas flowing through a pipeline subject to uncertain and variable outlet flow. Gas flow through a pipe is…

eess.SY2024

Performance-Barrier Event-Triggered Control of a Class of Reaction-Diffusion PDEs

Bhathiya Rathnayake, Mamadou Diagne, Jorge Cortes +1

We employ the recent performance-barrier event-triggered control (P-ETC) for achieving global exponential convergence of a class of reaction-diffusion PDEs via PDE backstepping con…

math.OC2024

Periodic Event-Triggered Boundary Control of Neuron Growth with Actuation at Soma

Cenk Demir, Mamadou Diagne, Miroslav Krstic

Exploring novel strategies for the regulation of axon growth, we introduce a periodic event-triggered control (PETC) to enhance the practical implementation of the associated PDE b…

math.OC2024

Output Feedback Periodic Event-Triggered and Self-Triggered Boundary Control of Coupled Linear Hyperbolic PDEs

Eranda Somathilake, Bhathiya Rathnayake, Mamadou Diagne

In this paper, we expand recently introduced observer-based periodic event-triggered control (PETC) and self-triggered control (STC) schemes for reaction-diffusion PDEs to boundary…

math.OC2024★ 1 cited

Unbiased Extremum Seeking for PDEs

Cemal Tugrul Yilmaz, Mamadou Diagne, Miroslav Krstic

There have been recent efforts that combine seemingly disparate methods, extremum seeking (ES) optimization and partial differential equation (PDE) backstepping, to address the pro…

math.OC2024★ 1 cited

Output Feedback Control of Suspended Sediment Load Entrainment in Water Canals and Reservoirs

Eranda Somathilake, Mamadou Diagne

This paper addresses the management of water flow in a rectangular open channel, considering the dynamic nature of both the channel's bathymetry and the suspended sediment particle…

math.OC2024

Asymptotic, Exponential, and Prescribed-Time Unbiasing in Seeking of Time-Varying Extrema

Cemal Tugrul Yilmaz, Mamadou Diagne, Miroslav Krstic

Our recently developed "unbiased" extremum seeking (uES) algorithms ensure perfect convergence to the optimum at a user-assigned exponential rate or, more powerfully, within a user…

math.OC2024

Perfect Tracking of Time-Varying Optimum by Extremum Seeking

Cemal Tugrul Yilmaz, Mamadou Diagne, Miroslav Krstic

This paper introduces extremum seeking (ES) algorithms designed to achieve perfect tracking of arbitrary time-varying extremum. In contrast to classical ES approaches that employ c…

math.OC2023★ 2 cited

Exponential and Prescribed-Time Extremum Seeking with Unbiased Convergence

Cemal Tugrul Yilmaz, Mamadou Diagne, Miroslav Krstic

We present multivariable extremum seeking (ES) designs that achieve unbiased convergence to the optimum. Two designs are introduced: one with exponential unbiased convergence (unbi…

math.OC2023★ 1 cited

Event-Triggered Extremum Seeking Control Systems

Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Liu Hsu +2

This paper proposes an event-triggered control scheme for multivariable extremum seeking of static maps. Both static and dynamic triggering conditions are developed. Integrating Ly…

math.OC2023

Backstepping Neural Operators for Hyperbolic PDEs

Shanshan Wang, Mamadou Diagne, Miroslav Krstić

Deep neural network approximation of nonlinear operators, commonly referred to as DeepONet, has proven capable of approximating PDE backstepping designs in which a single Goursat-f…

math.OC2023

Observer-based Periodic Event-triggered and Self-triggered Boundary Control of a Class of Parabolic PDEs

Bhathiya Rathnayake, Mamadou Diagne

This paper introduces the first observer-based periodic event-triggered control (PETC) and self-triggered control (STC) for boundary control of a class of parabolic PDEs using PDE…