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Title: Complete synchronization of uncertain chaotic systems via a single proportional adaptive controller: A comparative study

This paper addresses a comparative computational study on the synchronization quality, cost and converging speed for two pairs of identical chaotic and hyperchaotic systems with unknown time-varying parameters. It is assumed that the unknown time-varying parameters are bounded. Based on the Lyapunov stability theory and using the adaptive control method, a single proportional controller is proposed to achieve the goal of complete synchronizations. Accordingly, appropriate adaptive laws are designed to identify the unknown time-varying parameters. The designed control strategy is easy to implement in practice. Numerical simulations results are provided to verify the effectiveness of the proposed synchronization scheme.
Authors:
; ;  [1] ;  [2]
  1. School of Quantitative Sciences, College of Arts & Sciences, UUM (Malaysia)
  2. College of Applied Sciences Nizwa, Ministry of Higher Education, Sultanate of Oman (Oman)
Publication Date:
OSTI Identifier:
22494303
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1691; Journal Issue: 1; Conference: IACE 2015: 2. innovation and analytics conference and exhibition, Kedah (Malaysia), 29 Sep - 1 Oct 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 42 ENGINEERING; CHAOS THEORY; COMPUTERIZED SIMULATION; CONTROL; DATA COMPILATION; LYAPUNOV METHOD; STABILITY; SYNCHRONIZATION; VELOCITY