STUDY ON THE GLOBAL PROPERTY OF THE SMOOTH CHUA'S SYSTEM

• DOI: 10.1142/s0218127406016483
• Publication Date: 2006-12-08T11:26:15Z
• Authors: XIAOXIN LIAO; PEI YU; SHENGLI XIE; YULI FU
• Keywords: Chua's circuit; Constructive

In this paper, we first give a constructive proof for the existence of globally exponential attractive set Chua's system with smooth nonlinear function. Then, derive series simple algebraic sufficient conditions under which two same type systems are exponentially synchronized using linear feedback controls. Also, as special cases chaos synchronization, consider global tracking and periodic motions, well stabilization equilibrium points in systems. We construct simple, easily applicable control laws. Computer simulation results presented to verify theoretical predictions.