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Estimates of the Kolmogorov n-width for nonlinear transformations with application to distributed-parameter control systems
Alexander Zuyev, Lihong Feng, Peter Benner
This paper aims at characterizing the approximability of bounded sets in the range of nonlinear operators in Banach spaces by finite-dimensional linear varieties. In particular, th…
math.OC2024
Iterative approximations of periodic trajectories for nonlinear systems with discontinuous inputs
Alexander Zuyev, Peter Benner
Nonlinear control-affine systems described by ordinary differential equations with bounded measurable input functions are considered. The solvability of general boundary value prob…