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A further note on stability criterion of linear neutral delay-differential systems. (English) Zbl 1114.34335
The authors correct the error in the paper by {\it Ju.-H. Park, S. Won}, “A note on stability of neutral delay-differential systems.” J. Franklin Inst. 336, 543--548 (1999; Zbl 0969.34066)] and establish a new stability criterion. The following linear neutral delay-differential system is considered $$ \frac d{dt}\,[x(t)-c\ x(t-\tau)]=Ax(t)+Bx(t-\tau). $$

34K20Stability theory of functional-differential equations
34K06Linear functional-differential equations
34K40Neutral functional-differential equations
Full Text: DOI
[1] Park, Ju.-H.; Won, S.: A note on stability of neutral delay-differential systems. J. frankllin inst. 336, 543-548 (1999) · Zbl 0969.34066
[2] L.M. Li, Stability of linear neutral delay-differential systems, Bull. Austral. Math. Soc. (38) (1988) 339 -- 344. · Zbl 0669.34074
[3] Di Hu, G.; Da Hu, G.: Some simple stability criteria of neutral delay-differential systems. Appl. math. Comput. 80, 257-271 (1996) · Zbl 0878.34063
[4] Hale, J. K.; Lunel, M. V.: Introduction to function differential equations. (1993) · Zbl 0787.34002
[5] R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985. · Zbl 0576.15001