Buradasınız

Stability Estimates of First Order Linear and Nonlinear Neutral Delay Differential Equations

Journal Name:

Publication Year:

Abstract (2. Language): 
The problem of stabilizing a Xinear and nonlinear differential equation with neutral delay by means of linear feedback without neutral delay is considered. A suffic:ient condition on the open loop system is pre:sented for the possibilif;y of actualizing the arbitrarily prescribed degree of stability in the closed locop system.
69-79

REFERENCES

References: 

[l]A.shyralyev A.. and Akca H., Stability estimates of difference schemes for
neutral delay differential e~quations,N orzliizear Analysis 44 (2001) 443-
452!.
[2]Ashyralyev A,, Akca 14. and Yenic;erioBlu A.F., Stability estimates of
differemce sc:hernes for neutral differential equation:;, Abstract of the
Prctceedings of International Co~zJrere~lcoen Functional Diffeiei-ential-
D$fei.ence equations and Applicatioazs, August 18-22, :1997, Antalya.
[3]Y.A. Fiagbedzi, Direct criterion of memoiyless stabilizability of delay
systerns, IEEE Trans. On ~luloC. onir., AC-26, p.586 (1994).
[4]Ikeda I. and Ashida T., Stabilization of linear systems with time-varying
delay, IEEE Transactions OTL Autonzatic Control, Vol. 26, pp. 586-587,
1981.
[SIEeitnsan G., Decentralizecl stabilizing state feedback controllers for a
class of litrge-scale systems including state delays in the
interconnections, Journal qf 0ptimi.zation Tf~eorayn d Applications, vol.
100, no. 1, pp. 59-87, January 1999.
[6]Bellen A.? Jackiewicz Z. and Zennaro M., Stability analysis of one-step
methods for neutral-delay clif-'ferential equations, Nzlnter. Math. 52 (1998)
605-6 19.
[7]Cla1inan F.M. and Elaydi S., Lipschitz stability of nonlinear systerns of
difl'erential equations, Journal of Mathei~zaticul Analysis and
Applications, 113 No.2 (1986)) 562-577.
[8]Brctgan Mr.L., Moderft Conti.01 Theory, Quantum Publishers, Inc. New
Y'ork, 1.974.
[9]Bellman R, and Cooke K:., Differential-D@i;ence Eqzmtions. Academic
Press, New Yorlr, 1963.
[lO:IEl'sgol'ts L.E. and Norlzin S.B., Introcluction to the Theory and
Application of Differential Equlcltions with Deviating Arguments,
ticademic Pres, New York, London, 1973.
[ll]Myshkis A.D., Linear Differential Equations with a Retarded
Argument, Ed. Gostekhizclat, Moscow-Lenin.grad, 195 1, (in Russian; 2".
~ d i t1,9 72).
[12]Driver R.D., Ordinary nizd delay Differential Equations, Applied Math,
Sciences 20, Springer, Berlin, 1977.
[13]Cronin J., "Differential Ecluations", Marcel Dekker, Inc., New Yorlc,
1 994.

Thank you for copying data from http://www.arastirmax.com