𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control

✍ Scribed by Karine Beauchard; Camille Laurent


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
315 KB
Volume
94
Category
Article
ISSN
0021-7824

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Regularization and control of self-focus
✍ Brenton LeMesurier; Peter Christiansen 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 174 KB

The self-focusing singularity of the attractive 2D cubic Schrödinger equation arises in nonlinear optics and many other situations, including certain models of Bose-Einstein condensates. This 2D case is very sensitive to perturbations of the equation and so solutions can be regularized in a number o

New soliton and periodic solutions of (1
✍ Li-Hua Zhang; Jian-Guo Si 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 583 KB

With the aid of symbolic computation, the new generalized algebraic method is extended to the (1 + 2)-dimensional nonlinear Schrödinger equation (NLSE) with dualpower law nonlinearity for constructing a series of new exact solutions. Because of the dual-power law nonlinearity, the equation cannot be

A nonlinear fuzzy controller with linear
✍ Hao Ying 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 489 KB

The author analytically proves that a nonlinear fuzzy controller with linear control rules and N members for input fuzzy sets is the sum of a global two-dimensional multilevel relay and a local nonlinear proportional-integral (PI) controller which adjusts the control action generated by the global m