Impulsive practical synchronization of n-dimensional nonautonomous systems with parameter mismatch

Mihua Ma; Hua Zhang; Jianping Cai; Jin Zhou

Kybernetika (2013)

  • Volume: 49, Issue: 4, page 539-553
  • ISSN: 0023-5954

Abstract

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This paper is concerned with impulsive practical synchronization in a class of n-dimensional nonautonomous dynamical systems with parameter mismatch. Some simple yet general algebraic synchronization criteria are derived based on the developed practical stability theory on impulsive dynamical systems. A distinctive feature of this work is that the impulsive control strategy is used to make n-dimensional nonautonomous dynamical systems with parameter mismatch achieve practical synchronization, where the parameter mismatch likewise exist in both system parameters and external excitation ones, and the synchronization error bound can be estimated by an analytical expression. Subsequently, the obtained results are applied to a typical gyrostat system, and numerical simulations demonstrate the effectiveness of the criteria and the robustness of the control technique.

How to cite

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Ma, Mihua, et al. "Impulsive practical synchronization of n-dimensional nonautonomous systems with parameter mismatch." Kybernetika 49.4 (2013): 539-553. <http://eudml.org/doc/260649>.

@article{Ma2013,
abstract = {This paper is concerned with impulsive practical synchronization in a class of n-dimensional nonautonomous dynamical systems with parameter mismatch. Some simple yet general algebraic synchronization criteria are derived based on the developed practical stability theory on impulsive dynamical systems. A distinctive feature of this work is that the impulsive control strategy is used to make n-dimensional nonautonomous dynamical systems with parameter mismatch achieve practical synchronization, where the parameter mismatch likewise exist in both system parameters and external excitation ones, and the synchronization error bound can be estimated by an analytical expression. Subsequently, the obtained results are applied to a typical gyrostat system, and numerical simulations demonstrate the effectiveness of the criteria and the robustness of the control technique.},
author = {Ma, Mihua, Zhang, Hua, Cai, Jianping, Zhou, Jin},
journal = {Kybernetika},
keywords = {practical synchronization; impulsive control; $n$-dimensional nonautonomous systems; parameter mismatch; gyrostat system; practical synchronization; impulsive control; -dimensional nonautonomous systems; parameter mismatch; gyrostat system},
language = {eng},
number = {4},
pages = {539-553},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Impulsive practical synchronization of n-dimensional nonautonomous systems with parameter mismatch},
url = {http://eudml.org/doc/260649},
volume = {49},
year = {2013},
}

TY - JOUR
AU - Ma, Mihua
AU - Zhang, Hua
AU - Cai, Jianping
AU - Zhou, Jin
TI - Impulsive practical synchronization of n-dimensional nonautonomous systems with parameter mismatch
JO - Kybernetika
PY - 2013
PB - Institute of Information Theory and Automation AS CR
VL - 49
IS - 4
SP - 539
EP - 553
AB - This paper is concerned with impulsive practical synchronization in a class of n-dimensional nonautonomous dynamical systems with parameter mismatch. Some simple yet general algebraic synchronization criteria are derived based on the developed practical stability theory on impulsive dynamical systems. A distinctive feature of this work is that the impulsive control strategy is used to make n-dimensional nonautonomous dynamical systems with parameter mismatch achieve practical synchronization, where the parameter mismatch likewise exist in both system parameters and external excitation ones, and the synchronization error bound can be estimated by an analytical expression. Subsequently, the obtained results are applied to a typical gyrostat system, and numerical simulations demonstrate the effectiveness of the criteria and the robustness of the control technique.
LA - eng
KW - practical synchronization; impulsive control; $n$-dimensional nonautonomous systems; parameter mismatch; gyrostat system; practical synchronization; impulsive control; -dimensional nonautonomous systems; parameter mismatch; gyrostat system
UR - http://eudml.org/doc/260649
ER -

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Citations in EuDML Documents

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  1. Xiaobing Zhou, Murong Jiang, Yaqun Huang, Switched modified function projective synchronization between two complex nonlinear hyperchaotic systems based on adaptive control and parameter identification
  2. Liyun Zhao, Jun Liu, Lan Xiang, Jin Zhou, Group synchronization of diffusively coupled harmonic oscillators
  3. Quanjun Wu, Hua Zhang, Drive network to a desired orbit by pinning control
  4. Song Zheng, Impulsive stabilization and synchronization of uncertain financial hyperchaotic systems
  5. Ke Ding, Qing-Long Han, Synchronization of two coupled Hindmarsh-Rose neurons

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