Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2768

Full Length Research Paper

Simplified synchronization criteria for complex dynamical networks with time-varying delays

M. J. Park1, O. M. Kwon1*, Ju H. Park2, S. M. Lee3 and E. J. Cha4
1School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju 361-763, Republic of Korea. 2Department of Electrical Engineering, Yeungnam University, 214-1 Dae-dong, Kyongsan 712-749, Republic of Korea. 3School of Electronics Engineering, Daegu University, Gyungsan 712-714, Republic of Korea. 4Department of Biomedical Engineering, School of Medicine, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju 361-763, Republic of Korea.
Email: [email protected]

  •  Accepted: 04 October 2011
  •  Published: 30 October 2011

Abstract

This paper proposes new delay-dependent synchronization criteria for complex dynamical networks with time-varying delays. By constructing a suitable Lyapunov-Krasovskii's functional and utilizing Finsler's lemma, a novel synchronization criterion for the networks were established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Numerical examples were given to illustrate the effectiveness of the proposed methods.

 

Key words: Complex networks, time-varying delays, synchronization, Lyapunov method, linear matrix inequalities (LMIs).

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