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This paper deals with the chaos synchronization problem for a class of nonlinear pendulum-like systems with multiple equilibria. Based on the method of periodic Lyapunov functions, linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization of both master and slave pendulum-like systems by feedback control technique. Finally, a concrete application to phase-locked...
This paper focuses on the global behaviors of a class of pendulum-like dynamical networks with multiple equilibria. Sufficient conditions for the determination of gradient-like as well as dichotomy behavior are given in terms of linear matrix inequalities (LMIs). In order to examine the global synchronous behavior, a concept of generalized synchronization is introduced, and the criterion for generalized...
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