Hybrid function projective synchronization of uncertain discrete complex dynamical networks

Research output: Contribution to journalArticle

Abstract

The problem of hybrid function projective synchronization behavior in discrete complex dynamical networks with delay coupling is investigated in this paper. Sufficient conditions are derived to guarantee the realization of the hybrid function projective synchronization with different nodes and different dimension based on Lyapunov stability theory and adaptive control schema. In addition, the adaptive control gains are designed. Furthermore, different cases of topological structure of nodes are considered. Finally, numerical examples demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)319-327
Number of pages9
JournalInternational Journal of Dynamics and Control
Volume6
Issue number1
DOIs
Publication statusPublished - 1 Mar 2018

Fingerprint

Projective Synchronization
Complex Dynamical Networks
Adaptive Control
Synchronization
Gain control
Lyapunov Stability Theory
Topological Structure
Vertex of a graph
Schema
Numerical Examples
Sufficient Conditions
Demonstrate

Keywords

  • Adaptive control
  • Delay coupling
  • Discrete complex dynamical networks
  • Hybrid function projective synchronization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Civil and Structural Engineering
  • Modelling and Simulation
  • Mechanical Engineering
  • Control and Optimization
  • Electrical and Electronic Engineering

Cite this

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title = "Hybrid function projective synchronization of uncertain discrete complex dynamical networks",
abstract = "The problem of hybrid function projective synchronization behavior in discrete complex dynamical networks with delay coupling is investigated in this paper. Sufficient conditions are derived to guarantee the realization of the hybrid function projective synchronization with different nodes and different dimension based on Lyapunov stability theory and adaptive control schema. In addition, the adaptive control gains are designed. Furthermore, different cases of topological structure of nodes are considered. Finally, numerical examples demonstrate the effectiveness of the proposed method.",
keywords = "Adaptive control, Delay coupling, Discrete complex dynamical networks, Hybrid function projective synchronization",
author = "Ghada Al-mahbashi and {Md. Noorani}, {Mohd. Salmi} and {Abu Bakar}, Sakhinah",
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N2 - The problem of hybrid function projective synchronization behavior in discrete complex dynamical networks with delay coupling is investigated in this paper. Sufficient conditions are derived to guarantee the realization of the hybrid function projective synchronization with different nodes and different dimension based on Lyapunov stability theory and adaptive control schema. In addition, the adaptive control gains are designed. Furthermore, different cases of topological structure of nodes are considered. Finally, numerical examples demonstrate the effectiveness of the proposed method.

AB - The problem of hybrid function projective synchronization behavior in discrete complex dynamical networks with delay coupling is investigated in this paper. Sufficient conditions are derived to guarantee the realization of the hybrid function projective synchronization with different nodes and different dimension based on Lyapunov stability theory and adaptive control schema. In addition, the adaptive control gains are designed. Furthermore, different cases of topological structure of nodes are considered. Finally, numerical examples demonstrate the effectiveness of the proposed method.

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