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20242026
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14 papers · 1 filter

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…

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

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…