Active Tracking Control of the Hyperchaotic Lc Oscillator System

This paper presents an active tracking control strategy of the four-dimensional hyperchaotic LC oscillator system based on the theory of stability of the linear system. This strategy can track all kinds of reference signals. It is also proved that the strategy can make the system converge to any desired smooth orbit exponentially in theory. Numerical simulations have shown that the proposed strategy can not only trace the given reference signals, but the response system can also be in different-structure synchronization with the drive system.