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He, Wangli; Qian, Feng; Cao, Jinde; Han, Qing-Long

Impulsive synchronization of two nonidentical chaotic systems with time-varying delay. (English) Zbl 1241.93025

Phys. Lett., A 375, No. 3, 498-504 (2011).
Summary: This Letter investigates synchronization of two nonidentical Lur’e systems with time-varying delay and parameter mismatches via impulsive control. Based on the theory of impulsive functional differential equations, sufficient conditions for impulsive synchronization with a bound on the synchronization error are derived. An illustrative example is provided to validate the proposed method.

Cited in 29 Documents

MSC:

93C10 Nonlinear systems in control theory
49N25 Impulsive optimal control problems
34D06 Synchronization of solutions to ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
34K20 Stability theory of functional-differential equations
34K23 Complex (chaotic) behavior of solutions to functional-differential equations

Keywords:

impulsive synchronization; impulsive control; nonidentical chaotic systems; time-varying delay
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\textit{W. He} et al., Phys. Lett., A 375, No. 3, 498--504 (2011; Zbl 1241.93025)
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