A new stability criterion for a partial element equivalent circuit model of neutral type

  • Authors:
  • Xian-Ming Zhang;Qing-Long Han

  • Affiliations:
  • Centre for Intelligent and Networked Systems and the School of Computing Sciences, Central Queensland University, Rockhampton, QLD, Australia;Centre for Intelligent and Networked Systems and the School of Computing Sciences, Central Queensland University, Rockhampton, QLD, Australia

  • Venue:
  • IEEE Transactions on Circuits and Systems II: Express Briefs
  • Year:
  • 2009

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Abstract

This brief is concerned with stability for a partial element equivalent circuit model of neutral type. First, the relationship between two recently established integral inequalities is presented. Second, a new Lyapunov-Krasovskii functional is introduced based on the fact that the delay interval is nonuniformly divided into multiple subintervals, and different functionals are chosen on different subintervals. Then, some new delay-dependent criteria are derived. Finally, a numerical example is given to show that the results obtained by the new stability criteria can significantly improve some existing results.