63 citations · 192 across the 17 of their papers we have counts for
4 papers · 1 filter
Backstepping for Partial Differential Equations:A Survey
Rafael Vazquez, Jean Auriol, Federico Bribiesca-Argomedo +1
Systems modeled by partial differential equations (PDEs) are at least as ubiquitous as systems that are by nature finite-dimensional and modeled by ordinary differential equations…
Towards a MATLAB Toolbox to compute backstepping kernels using the power series method
Xin Lin, Rafael Vazquez, Miroslav Krstic
In this paper, we extend our previous work on the power series method for computing backstepping kernels. Our first contribution is the development of initial steps towards a MATLA…
Gain-Only Neural Operators for PDE Backstepping
Rafael Vazquez, Miroslav Krstic
In this work we advance the recently-introduced deep learning-powered approach to PDE backstepping control by proposing a method that approximates only the control gain function --…
Gain Scheduling with a Neural Operator for a Transport PDE with Nonlinear Recirculation
Maxence Lamarque, Luke Bhan, Rafael Vazquez +1
To stabilize PDE models, control laws require space-dependent functional gains mapped by nonlinear operators from the PDE functional coefficients. When a PDE is nonlinear and its "…