9 citations · 9 across the 6 of their papers we have counts for
7 papers
Stabilization of a Heterodirectional Bradytachic (1D, 2D) PDE Pair
Miroslav Krstic
A scalar hyperbolic PDE, actuated at one boundary, is coupled with a fast PDE in two spatial dimensions: transport in the axial coordinate and in an internal coordinate, and possib…
Adaptive and Neural Operator Control of Nonlinear Volterra Hyperbolic PDEs
Miroslav Krstic
Adaptive control learns the plant online; neural-operator control learns the control gains offline. We bring the two together for a class of nonlinear hyperbolic PDEs whose dynamic…
Approximate Feedback Linearization for a Nonlinear Hyperbolic PDE Class -- Part II: Neural Operator
Miroslav Krstic
Volterra series feedback linearizes a class of nonlinear hyperbolic PDEs but produces a controller that, even after truncation, demands solving a tower of plant-specific kernel PDE…
Beyond Nonlinear Small-Gain Design: DADS with Partial-State Feedback
Iasson Karafyllis, Miroslav Krstic
Eduardo Sontag and coauthors studied Input-to-Output Stability (IOS) and the output asymptotic gain property. These notions changed control theory and recently had an impact on rob…
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…
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…
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…