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Generalized synchronization via impulsive control. (English) Zbl 1142.34355

Summary: This paper demonstrates theoretically that two completely different systems can implement GS via impulsive control, moreover by using impulsive control, for a given manifold \(y = H(x)\) we construct a response system to achieve GS with drive system and the synchronization manifold is \(y = H(x)\). Our theoretical results are supported by numerical examples.

MSC:

34D35 Stability of manifolds of solutions to ordinary differential equations
34K45 Functional-differential equations with impulses
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N35 Dynamical systems in control
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References:

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