Control of implicit chaotic maps using nonlinear approximations

The technique of using nonlinear approximations to design controllers for chaotic dynamical systems introduced by Yagasaki and Uozumi is extended in order to enable it to be used to design controllers for chaotic dynamical systems that are described by implicit maps and is then used to control the well-known bouncing ball system without recourse to the high-bounce approximation. (C) 2000 American Institute of Physics. [S1054-1500(00)01803-6].