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math.OC2026
Optimal Actuator Design across Ranks and Control Horizons
Emmanuel Trélat, Enrique Zuazua
We study how actuator rank and control horizon jointly determine worst-case control performance for finite-dimensional linear systems under a fixed total actuator-gain budget. The…
math.NA2026
Two-term small-time spectral expansions for controllability Gramians
Emmanuel Trélat, Enrique Zuazua
For a controllable single-input linear system in dimension , the controllability Gramian eigenvalues, ordered decreasingly, are known to have the successive small-time orders $T…
math.AP2026
Crossover asymptotics and a sharp confinement rate for the viscous Burgers equation
Maicon Sonego, Enrique Zuazua
We study the one-dimensional viscous Burgers equation on with the conservative boundary conditions . On the half-line, solutions approach a nonlinear self-similar…