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In this paper, decentralized static output feedback is considered for a class of dynamic networks with each node being a nonlinear system with infinite equilibria. Based on the Kalman-Yakubovich-Popov (KYP) lemma, linear matrix inequality (LMI) conditions are established to guarantee the stability of such dynamic networks. Furthermore, an interesting conclusion is reached: the stability problem for...
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...
Dichotomy, or monostability, is one of the most important properties of nonlinear dynamic systems. For a dichotomous system, the solution of the system is either unbounded or convergent to a certain equilibrium, thus periodic or chaotic states cannot exist in the system. In this paper, a new methodology for the analysis of dichotomy of a class of nonlinear systems is proposed, and a linear matrix...
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