Michał Kisielewicz (2002)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Similarity:
Some sufficient conditions for controllability of nonlinear systems described by differential equation ẋ = f(t,x(t),u(t)) are given.
L. Rosier (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
The exact boundary controllability of linear and nonlinear Korteweg-de Vries equation on bounded domains with various boundary conditions is studied. When boundary conditions bear on spatial derivatives up to order 2, the exact controllability result by Russell-Zhang is directly proved by means of Hilbert Uniqueness Method. When only the first spatial derivative at the right endpoint is assumed to be controlled, a quite different analysis shows that exact controllability holds...