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This paper is concerned with the problems of absolute stability and master-slavesynchronization of systems with state-dependent nonlinearities. TheKalman-Yakubovich-Popov (KYP) lemma and the Schur complement formulaare applied to get novel and less conservative stability conditions. Anumerical example is presented to illustrate the efficiency of the stabilitycriteria. Furthermore, a synchronization criterion is developed based on theproposed stability results.

Absolute Stability and Master-Slave Synchronization of Systems with State-Dependent Nonlinearities