Criteria for Stability of Linear Neutral Delay Systems

HALE J,VERDUUYN L S M.Introduction to functional differential equations[M]. New York:Springer-Verlag,1993:58-75.[2] LI L M.Stability of linear neutral delay-differential systems[J]. Bulletin of the Australian Mathematical Society,1998,38:339-344.[3] HU G D,HU G D.Some simple stability criteria of neutral delay-differential systems[J]. Applied Mathematics and Computation,1996,80:257-271.[4] BELLEN A,GUGLIELMI N,RUEHLIA E.Methods for linear systems of circuit delay differential equations of neutral type[J]. IEEE Transactions on Circuits Systems I CAS,1999,46:212-216.[5] PARK J H,WON S.A note on stability of neutral delay-differential systems[J]. Journal of the Franklin Institute,1999,336:543-548.[6] CAO D Q,HE P.Stability criteria of linear neutral systems with a single delay[J]. Applied Mathematics and Computation,2004,148(1):135-143.[7] CAO D Q,HE P.Sufficient conditions for stability of linear neutral systems with a single delay[J]. Applied Mathematics Letters,2004,17:139-144.[8] LIEN C H,YU K W,HSIEHJ G.Stability conditions for a class of neutral systems with multiple time delays[J]. Journal of Mathematical Analysis and Applications,2000,245:20-27.[9] NICULESCU S I.On delay-dependent stability under model transformations of some neutral linear systems[J]. International Journal of Control,2001,74:609-617.[10] PARK J H.A new delay-dependent criterion for neutral systems with multiple delays[J]. Journal of Computational and Applied Mathematics,2001,136:177-184.[11] LANCASTER P,TISMENETSKY M.The theory of matrices[M]. Orlando:Academic Press,1985:15-21.[12] VIDYASAGAR M.Nonlinear systems analysis[M]. Philadelphia:The Society for Industrial and Applied Mathematics,2002:42-50.