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2007, Volume 17, Issue 1: 95-105. Doi: 10.3934/dcds.2007.17.95
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Characteristic equation approach to stability measures of linear neutral systems with multiple time delays

  • 1.

    Department of Physics, Lancaster University, Lancaster LA1 4YB

  • 2.

    Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031

Received:  January 31, 2006
Revised:  June 30, 2006
Published:  December 2006
Abstract Related Papers Cited by
    Abstract
  • Using the characteristic equation approach, the problem of asymptotic stability of linear neutral systems with multiple time delays is investigated in this paper. New delay-independent stability criteria are derived in terms of the spectral radius of corresponding modulus matrices. The structure information of the system matrices are taken into consideration in the proposed stability criteria, thus the conservatism found in the literature can be significantly reduced. The explicit nature of the construction permits us to directly express the algebraic criteria in terms of the plant parameters, thus checking of stability by our criteria can be carried out rather simply. Numerical examples are given to demonstrate the validity of the new criteria and to compare them with the previous results.
    Mathematics Subject Classification: Primary: 34K06, 39B82; Secondary: 37C75.

    Citation:
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