Summary: | 碩士 === 義守大學 === 電機工程學系 === 105 === In this thesis, the concept of practical exponential stabilizability is introduced and the stabilization for a class of hyperchaotic systems is investigated. Based on Lyapunov-like Theorem with differential and integral inequalities, two linear feedback controllers are proposed to realize the global exponential stabilization of such systems. Besides, the proposed control can be directly and efficiently realized by easy-implemented electronic circuits. On the other hands, the concept of ε-δ synchronization is introduced and the ε-δ synchronization for a class of uncertain master-slave systems with mixed uncertainties is investigated. Based on the differential and integral inequalities methodology, a tracking control is proposed to realize the ε-δ synchronization for such uncertain systems. Not only the guaranteed exponential decay rate and convergence radius can be pre-specified, but also the mixed uncertainties can be simultaneously conquered by the proposed control.Finally, numerical simulations will be given to demonstrate the feasibility and effectiveness of the obtained results.
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