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Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems – a symbolic-numeric computation approach. (English) Zbl 1080.93008
Summary: First, a Q-S (lag or anticipated) synchronization of continuous-time dynamical systems is defined. Second, based on a backstepping design with one controller, a systematic, concrete, and automatic scheme is developed to investigate the Q-S (lag or anticipated) synchronization between the drive system and response system with a strict-feedback form. Two identical hyperchaotic Tamasevicius-Namajunas-Cenys (TNC) systems as well as the hyperchaotic TNC system and hyperchaotic Rössler system are chosen to illustrate the proposed scheme. Numerical simulations are used to verify the effectiveness of the proposed scheme. The scheme can also be extended to study Q-S (lag or anticipated) synchronization between other dynamical systems with strict-feedback forms. With the aid of symbolic-numeric computation, the scheme can be performed to yield automatically the scalar controller in computer.
MSC:
93B40Computational methods in systems theory
37-04Machine computation, programs (Dynamical systems and ergodic theory)
37D45Strange attractors, chaotic dynamics
93B51Design techniques in systems theory