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20102026
most citedOn the Relation of Delay Equations to First-Order Hyperbolic Partial Differential Equations

68 citations · 360 across the 99 of their papers we have counts for

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Showing 2023Show all

14 papers · 1 filter

math.OC2023★ 4 cited

Output-Positive Adaptive Control of Hyperbolic PDE-ODE Cascades

Ji Wang, Miroslav Krstic

In this paper, we propose a new adaptive Control Barrier Function (aCBF) method to design the output-positive adaptive control law for a hyperbolic PDE-ODE cascade with parametric…

physics.acc-ph2023

Experimental Safe Extremum Seeking for Accelerators

Alan Williams, Alexander Scheinker, En-Chuan Huang +2

We demonstrate the recent designs of Safe Extremum Seeking (Safe ES) on the 1 kilometer-long charged particle accelerator at the Los Alamos Neutron Science Center (LANSCE). Safe ES…

math.AP2023★ 10 cited

Ensembles of Hyperbolic PDEs: Stabilization by Backstepping

Valentin Alleaume, Miroslav Krstic

For the quite extensively developed PDE backstepping methodology for coupled linear hyperbolic PDEs, we provide a generalization from finite collections of such PDEs, whose states…

eess.SY2023

Newton Nonholonomic Source Seeking for Distance-Dependent Maps

Velimir Todorovski, Miroslav Krstic

The topics of source seeking and Newton-based extremum seeking have flourished, independently, but never combined. We present the first Newton-based source seeking algorithm. The a…

math.AP2023

Delay-Adaptive Control of First-order Hyperbolic PIDEs

Shanshan Wang, Jie Qi, Miroslav Krstic

We develop a delay-adaptive controller for a class of first-order hyperbolic partial integro-differential equations (PIDEs) with an unknown input delay. By employing a transport PD…

math.OC2023★ 29 cited

Neural Operators for PDE Backstepping Control of First-Order Hyperbolic PIDE with Recycle and Delay

Jie Qi, Jing Zhang, Miroslav Krstic

The recently introduced DeepONet operator-learning framework for PDE control is extended from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class th…