Abstract
Impulsive control is an efficient method to deal with dynamical systems which cannot be controlled by continuous control. In addition, in the synchronization process, the response system receives information from the drive system only at discrete time instants, which drastically reduces the amount of synchronization information transmitted from the drive system to the response system and makes this method more efficient in a great number of real-life applications. In this chapter, we will study how to synchronize two identical or different chaotic systems by impulsive control methods. We first study the complete synchronization of a class of chaotic systems, and after that we develop synchronization methods for unified systems with channel time delay in the sense of practical stability. Then, robust synchronization schemes are studied for chaotic systems with parametric uncertainty and parametric mismatch. The aim is to present some practical impulsive control methods for different synchronization schemes.
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(2009). Synchronizing Chaotic Systems via Impulsive Control. In: Controlling Chaos. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-84882-523-9_6
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DOI: https://doi.org/10.1007/978-1-84882-523-9_6
Publisher Name: Springer, London
Print ISBN: 978-1-84882-522-2
Online ISBN: 978-1-84882-523-9
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