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
Showing 2023Show all

10 papers · 1 filter

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…

math.AP2023★ 9 cited

Deep Learning of Delay-Compensated Backstepping for Reaction-Diffusion PDEs

Shanshan Wang, Mamadou Diagne, Miroslav Krstić

Deep neural networks that approximate nonlinear function-to-function mappings, i.e., operators, which are called DeepONet, have been demonstrated in recent articles to be capable o…

math.OC2023

Stabilization of Age-Structured Chemostat Hyperbolic PDE with Actuator Dynamics

Paul-Erik Haacker, Iasson Karafyllis, Miroslav Krstić +1

For population systems modeled by age-structured hyperbolic partial differential equations (PDEs), we redesign the existing feedback laws, designed under the assumption that the di…

eess.SY2023

Event-triggered Boundary Control of a Class of Reaction-Diffusion PDEs with Time-dependent Reactivity

Bhathiya Rathnayake, Mamadou Diagne

This paper presents an event-triggered boundary control strategy for a class of reaction-diffusion PDEs with time-varying reactivity under Robin actuation. The control approach con…

math.OC2023★ 1 cited

Delay-Adaptive Compensator for 3-D Space Formation of Multi-Agent Systems with Leaders Actuation

Shanshan Wang, Mamadou Diagne, Jie Qi

This paper focuses on the control of collective dynamics in large-scale multi-agent systems (MAS) operating in a 3-D space, with a specific emphasis on compensating for the influen…

math.OC2023★ 1 cited

Robustness of Reaction-Diffusion PDEs Predictor-Feedback to Stochastic Delay Perturbations

Dandan Guan, Jie Qi, Mamadou Diagne

This paper studies the robustness of a PDE backstepping delay-compensated boundary controller for a reaction-diffusion partial differential equation (PDE) with respect to a nominal…

math.OC2023

Delay-Adaptive Boundary Control of Coupled Hyperbolic PDE-ODE Cascade Systems

Ji Wang, Mamadou Diagne

This paper presents a delay-adaptive boundary control scheme for a coupled linear hyperbolic PDE-ODE cascade system with an unknown and arbitrarily long input delay. To…