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Controlling the Lorenz system: combining global and local schemes

: Richter, H.


Chaos, solitons and fractals 12 (2001), No.13, pp.2375-2380
ISSN: 0960-0779
Journal Article
Fraunhofer IPA ()
Chaos; Lorenz-System; SSRC; Chaoskontrolle

The Lorenz equations are one of the best-known and analyzed systems exhibiting chaotic behavior. In this paper, a new control scheme for the Lorenz system combining local and global techniques is introduced. This scheme is based on a feedback law which is only applied in a bounded state space region of control (SSRC). The SSRC is determined by the enclosure of the Lorenz attractor.