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January  2007, 17(1): 95-105. doi: 10.3934/dcds.2007.17.95

Characteristic equation approach to stability measures of linear neutral systems with multiple time delays

D. Q. Cao 1, , Y. R. Yang 2, and  Y. M. Ge 2,

1. 

Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom
2. 

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

Received  February 2006 Revised  July 2006 Published  October 2006

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.
Keywords: Neutral systems, stability, algebraic criteria, multiple time delays..
Mathematics Subject Classification: Primary: 34K06, 39B82; Secondary: 37C7.
Citation: D. Q. Cao, Y. R. Yang, Y. M. Ge. Characteristic equation approach to stability measures of linear neutral systems with multiple time delays. Discrete & Continuous Dynamical Systems, 2007, 17 (1) : 95-105. doi: 10.3934/dcds.2007.17.95
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