International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

A critical review of parallel distributed computing and the Lyapunov criterion for multiple time-delay fuzzy systems

Cheng-Wu Chen*    
1Institute of Maritime Information and Technology, National Kaohsiung Marine University, Kaohsiung 80543, Taiwan. 2Global Earth Observation and Data Analysis Center, National Cheng Kung University, Tainan 701 R.O.C, Taiwan.
Email: [email protected]

  •  Accepted: 13 July 2011
  •  Published: 16 September 2011

Abstract

This work reviews some important Lyapunov criterion results based on which we address the stability problems of multiple time-delay Takagi-Sugeno (T-S) fuzzy systems. A delay-dependent stability criterion is derived using the fuzzy Lyapunov method that will ensure the asymptotic stability of the multiple time-delay T-S fuzzy systems. Furthermore, the parallel distributed compensation (PDC) scheme is used to achieve a controller design for fuzzy systems.

 

Key words: Lyapunov, critical review, multiple time-delay system, PDC.