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Secure communication based on chaotic synchronization via interval time-varying delay feedback control. (English) Zbl 1215.93127
Summary: A synchronization method of Lur’e systems for chaotic secure communication systems with interval time-varying delay feedback control is proposed. To increase communication security, the transmitted message is encrypted with the techniques of $N$-shift cipher and public key. Based on Lyapunov method and linear matrix inequality (LMI) formulation, new delay-dependent synchronization criteria are established to not only guarantee stable synchronization of both transmitter and receiver systems but also recover the transmitted original signal at the receiver. Throughout a numerical example, the validity and superiority of the proposed method are shown.
MSC:
 93D15 Stabilization of systems by feedback 37D45 Strange attractors, chaotic dynamics 93C23 Systems governed by functional-differential equations