This paper is concerned with positive invariant set and synchronization controlling for Hadley chaotic system. A detailed spheroid estimation of the globally exponentially attractive set is derived for the Hadley chaotic system. In addition, linear feedback control with two inputs is proposed to realize the globally exponential synchronization of two Hadley chaotic systems based on matrix theory. New sufficient algebraic criteria for the globally exponential synchronization of two Hadley chaotic systems are obtained analytically. The controllers here designed have simple structure and less conservation. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.
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