Computing maximum delay deviation allowed to retain stability in systems with two delays

Lecture Notes in Control and Information Sciences

Volumn 352, Issue , 2007, Pages 157-164

  Gu, Keqin ^a   Niculescu, Silviu Iulian ^b   Chen, Jie ^c  

^a SOUTHERN ILLINOIS UNIVERSITY EDWARDSVILLE   (United States)

^b UNIV PARIS SUD   (France)

^c University of California Riverside   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247165120     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-49556-7_10     Document Type: Article

References (13)

1. Bellman R. E., Cooke K. L. (1963) Differential-Difference Equations, Academic Press, New York, 1963
2. Cooke K. L., Grossman Z. (1982) Discrete delay, distributed delay and stability switches. J. Mathematical Analysis and Applications 86:592-627
3. Diekmann O., van Gils S. A., Verduyn-Lunel S. M., Walther H. -O. (1995) Delay Equations, Functional-, Complex and Nonlinear Analysis. Appl. Math. Sciences Series 110, Springer-Verlag, Berlin Heidelberg New York
4. El'Sgol'ts L. E., Norkin S. B. (1973) Introduction to the Theory and Application of Differential Equations with Deviating Arguments. Academic Press, New York
5. Górecki H., Fuksa S., Grabowski P., Korytowski A. (1989) Analysis and Synthesis of Time-Delay Systems. Polish Scientific Publishers, Warszawa
6. Gu K., Kharitnov V. L., Chen J. (2003) Stability of Time-Delay Systems, Birkhauser, Boston
7. Gu K., Niculescu S.-I., Chen J. (2005) On stability crossing curves for general systems with two delays, J. Mathematical Analysis and Applications 311:231-253
8. Hale J. K., Huang W. (1993) Global geometry of the stable regions for two delay differential equations. J. Mathematical Analysis and Applications 178:344-362
9. Hale J. K., Verduyn Lunel S. M. (1993) Introduction to Functional Differential Equations. Applied Math. Sciences 99, Springer-Verlag, Berlin Heidelberg New York
10. Kolmanovskii V. B., Nosov V. R. (1986) Stability of Functional Differential Equations. Mathematics. Science and Eng. 180, Academic Press, New York
11. Niculescu S. I., Delay Effects on Stability - A Robust Control Approach. LNCS 269, Springer-Verlag, Berlin Heidelberg New York
12. Stépán G. (1989) Retarded Dynamical Systems: Stability and Characteristic function. Wiley, New York
13. Stépán G. (1998) Delay-differential equation models for machine tool chatter. In: F. C. Moon, Eds., Dynamics and Chaos in Manufacturing Process, pp. 165-192, Wiley, New York