Observe-Based Complete Synchronization of Chaotic Complex Systems

Shutang Liu (), Ping Liu (), Cuimei Jiang () and Changan Liu ()
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Shutang Liu: Shandong University, School of Control Science and Engineering
Ping Liu: Shandong Agricultural University
Cuimei Jiang: Qilu University of Technology (Shandong Academy of Sciences)
Changan Liu: Shandong University

Chapter 3 in Chaos in Complex Dynamical System: Theory and Application, 2026, pp 31-38 from Springer

Abstract: Abstract In recent years, engineering approaches have been extensively employed in the synchronization control of chaotic systems [86–91]. Among these methods, the state observer-based control strategy stands out, as it eliminates the need to construct a synchronous conditional Lyapunov function and does not require the initial states of the two chaotic systems to be synchronized within the same attractor domain, thereby garnering significant attention from researchers [92–95]. This chapter adopts the state observer design-based control method to investigate complete synchronization (CS) of complex chaotic systems and provides a specific case of synchronization achieved via this approach. Section 3.1 focuses on the realization of observer-based complete synchronization. Section 3.2 presents several simulation examples to verify the proposed method.

Date: 2026
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DOI: 10.1007/978-981-95-7762-0_3

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