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Synchronization of a four-dimensional energy resource system via linear control. (English) Zbl 1221.93238

Summary: The synchronization of a four-dimensional energy resource system is investigated. Four linear control schemes are proposed to synchronize energy resource chaotic system via the back-stepping method. We use simpler controllers to realize a global asymptotical synchronization. In the first three schemes, the sufficient conditions for achieving synchronization of two identical energy resource systems using linear feedback control are derived by using Lyapunov stability theorem. In the fourth scheme, the synchronization condition is obtained by numerical method, in which only one state variable controller is contained. Finally, four numerical simulation examples are performed to verify these results.

MSC:

93D15 Stabilization of systems by feedback
34H10 Chaos control for problems involving ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
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