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International Journal of Systems Science Volume 27, 1996 - Issue 4
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Original Articles

Controlling Lorenz chaos

XINGHUO YU Department of Mathematics and Computing, Central Queensland University, Rockhampton, QLD, 4702, Australia Phone: Tel: +(61)79 309865 Fax: Tel: +(61)79 309865 E-mail: e-mail: [email protected]
Pages 355-359 | Received 10 May 1995, Accepted 01 Jun 1995, Published online: 16 May 2007

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N. Apostolou & R. E. King. (2002) Design of globally stable controllers for a class of chaotic systems. International Journal of Systems Science 33:5, pages 379-386.
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JATIK. SENGUPTA & RAYMONDE. SFEIR. (1998) Nonlinear dynamics in foreign exchange markets. International Journal of Systems Science 29:11, pages 1213-1224.
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Andrew Alleyne. (1998) Reachability of Chaotic Dynamic Systems. Physical Review Letters 80:17, pages 3751-3754.
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Teh-Lu Liao. (1998) Observer-based approach for controlling chaotic systems. Physical Review E 57:2, pages 1604-1610.
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The-Lu Liao & Nan-Sheng Huang. (1997) Control and synchronization of discrete-time chaotic systems via variable structure control technique. Physics Letters A 234:4, pages 262-268.
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S. Mascolo. (1997) Backstepping design for controlling Lorenz chaos. Backstepping design for controlling Lorenz chaos.
Xinghuo Yu. (1996) Controlling chaos in dynamical systems using variable structure. Controlling chaos in dynamical systems using variable structure.

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