Exact boundary controllability for Korteweg‐de Vries equation

By A. Salem. 2009

54 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mathematical Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/b4b2df361eeffb063ac34e42575011c66635ef20

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

In Mathematical Physics

In Numerical Analysis

Citations in the corpus

Local controllability of 1D linear and nonlinear Schr (2010, unknown): “Therefore, the controllability result of Theorem 1 enters the classical framework of local controllability results for nonlinear systems, proved with fixed point arguments (see, for instance, [56] by Rosier, [29] by Cerpa and Crépeau, [59] by Russell and Zhang, [64] by Zhang, [65] by Zuazua; this li”
Boundary controllability for the nonlinear Korteweg–de Vries equation on any critical domain (2009, methodology): “Moreover, using all the three control inputs, Zhang proves in [22] that for every L > 0, the system (6) is exactly controllable in the space H(0,L) for any s 0, in a neighborhood of a given smooth solution of the KdV equation.”
Exact boundary controllability of the nonlinear Schrödinger equation (2009, background): “the Korteweg–de Vries equation (see [7,22,24, 25,29,31]), or the Ginzburg–Landau equation (see [6,26]).”
Exact controllability of the nonlinear third-order dispersion equation (2007, methodology): “Russell and Zhang [10] discussed the controllability and stabilizability of the third-order linear dispersion equation on * Corresponding author.”
Internal controllability of the Korteweg-de Vries equation on a bounded domain (2014, background): “If one can always find a control input f to guide the system described by (1.1) from any given initial state u0 to any given terminal state u1, then the system (1.1) is said to be exactly controllable.”
Control of a Korteweg-de Vries equation: A tutorial (2013, unknown): “Moreover, using all the three control inputs, Zhang proved in [50] that for every L > 0 the system (4) is exactly controllable in the space H(0, L) for any s ≥ 0 in a neighborhood of a given smooth solution of the KdV equation.”