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Projective synchronization via a linear observer: application to time-delay, continuous-time and discrete-time systems. (English) Zbl 1139.93348

Summary: This letter presents a general approach to projective synchronization that features a linear observer with an ability to arbitrarily scale a drive system attractor. The technique can be applied to wide classes of chaotic and hyperchaotic systems, namely time-delay systems described by functional differential equations, continuous-time systems described by ordinary differential equations and discrete-time systems described by difference equations. Theoretical and simulation results demonstrate that a linear observer can duplicate chaotic system states in any desired scale using only a scalar synchronizing signal. The proposed approach is readily implemented in hardware.

MSC:

93D15 Stabilization of systems by feedback
34K20 Stability theory of functional-differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C23 Control/observation systems governed by functional-differential equations
93B07 Observability
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