Controlling the Lorenz system: combining global and local schemes. (English) Zbl 1073.93537

Summary: 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.


93C10 Nonlinear systems in control theory
37N35 Dynamical systems in control
Full Text: DOI


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