Global synchronization of chaotic systems via linear balanced feedback control. (English) Zbl 1113.93047
Summary: Global synchronization of two identical chaotic systems by the linear balanced feedback control, and the Gerschgorin theorem is studied in this paper. Linear feedback control method based on Lyapunov stability theory and extreme approach is introduced to design controller to synchronize two identical chaotic systems. Two techniques are applied to four-scroll chaotic systems for determining the balanced feedback gains. A numerical example is given to illuminate the design procedure and advantage of the results derived.
MSC:
| 93B52 | Feedback control |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 34K23 | Complex (chaotic) behavior of solutions to functional-differential equations |
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