Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsSystem DynamicsChaos TheoryControl Of Dynamical SystemsControl TheoryNonlinear ControlNonlinear DynamicsStability TheoryChaos ControlChaos SynchronizationChaotic DynamicsChaotic OscillatorsImpulsive ControlImpulsive SystemsNumerical SimulationSynchronization Of Chaotic Systems
This paper deals with the impulsive synchronization problem of a class of chaotic systems. By employing the comparison principle and the linear matrix inequalities approach, some less conservative and easily verified sufficient conditions for impulsive synchronization of this class of chaotic systems are derived, these new sufficient conditions can be applied to analyze the impulsive synchronization of the Chua's oscillators. Moreover, the numerical simulation of Chua's oscillators under impulsive control shows the effectiveness of the proposed theory, and obtains better estimation of the boundary of the stable region than the existing approaches.
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Synchronization in chaotic systems
Louis M. Pecora, Thomas L. Carroll · Physical Review Letters · 1990 · 10.6K citations
Tao Yang · IEEE Transactions on Automatic Control · 1999 · 298 citations