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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 2023 · math.OCShow all

8 papers · 2 filters

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…

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…

math.OC2023

Stabilization and Spill-Free Transfer of Viscous Liquid in a Tank

Iasson Karafyllis, Miroslav Krstic

Flow control occupies a special place in the fields of partial differential equations (PDEs) and control theory, where the complex behavior of solutions of nonlinear dynamics in ve…

math.OC2023

Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers

Andrey Polyakov, Miroslav Krstic

A nonovershooting finite-time control design for linear multi-input system is proposed by upgrading a linear (asymptotic) nonovershooting stabilizer to a homogeneous one. Robustnes…

math.OC2023★ 1 cited

On Disturbance-to-State Adaptive Stabilization without Parameter Bound by Nonlinear Feedback of Delayed State and Input

Iasson Karafyllis, Miroslav Krstic, Alexandros Aslanidis

We complete the first step towards the resolution of several decades-old challenges in disturbance-robust adaptive control. For a scalar linear system with an unknown parameter for…

math.OC2023

Nonlocal Nonholonomic Source Seeking Despite Local Extrema

Raik Suttner, Miroslav Krstic

In this paper, we investigate the problem of source seeking with a unicycle in the presence of local extrema. Our study is motivated by the fact that most of the existing source se…