Research Article

Singular Perturbation Problems Using Indefinite Lyapunov Functions

Volume: 10 Number: 2 December 31, 1997
Ayhan Albostan , Ahmet Özek
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Journal of Engineering and Architecture Faculty of Eskisehir Osmangazi University Cover Journal of Engineering and Architecture Faculty of Eskisehir Osmangazi University
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Singular Perturbation Problems Using Indefinite Lyapunov Functions

Öz

With a dynamic system of differential equations consisting of many variables the singular perturbation methods are of great importance.

Anahtar Kelimeler

indefinite Lyapunov function,singular perturbation,two-time-scale system,nonlinear systems

References

  1. [1] K. Kl]alilHassan, "Aron/mea7'S>'ıtem$, /'renrtce-7'fa//", UpperSaddIeRiver, N. J., 1996.
  2. [2] M. Vİdyasagar, "Nonlmear Systems Anatysis", Prentice-HaIl, ini:. Englewood Cliffs, N. J., 1996.
  3. [3] A. Halanay, ". Stability Theorems of Gradstem-Klimusev-Krcfvovski Type for coupled Differenlial-Difference and Difference Eijuations With Small Delays, (leclure on). Cali. On Qualitative Theory of DiffereMial Eyuations", pp 27-31. August 1984, Szeged, Hımgaıy.
  4. [4] T. Yoshizawa, "Staiility Theory by Lyapumv's Seconıl Method", TheîAatb. Soc. ofjapan, 1966.
  5. [5] N. Rouche, L. Habets, M. Laloıv, "Stabilily Theory by Lyapunov's Direct Method. Springeı", VewYork, 1977.
  6. [6] J. d'Azzo John and H. Houpls Constantine, "Liııear Control System", Mc Graw-Hill Book Company, New York, 1990.
  7. [7]. V. Kerte'sz, "Application of indefinite Lyapunov fanction for stability investigations", ZAMMVo\. 63., pp 66-68, 1983.
  8. [8] V. Kerte'sz, "Seperation oflarge and small solutions using indefinite Lyapunov functions", ZAMM, Vol. 64. pp 366-367, 1984.
  9. [9] M. A. Aizerman and F. R. Gantmacher, "Absolule Slabiiily of Regülatör Systems", Holden- Day, Inc. San Francisco, 1964.
  10. [10] K.KhaliI Hassan, "Stability Analysis of Nonlinear Multiparameter Singulariy Perturbed Systems. " IEEE Trans. Onautomalic Control .40-32(3), pp 260-263, March 1987.

Details

Primary Language

Turkish

Subjects

Electrical Engineering

Journal Section

Research Article

Authors

Ahmet Özek This is me

Publication Date

December 31, 1997

Submission Date

July 17, 2017

Acceptance Date

July 1, 1997

Published in Issue

Year 1970 Volume: 10 Number: 2

IZ

https://izlik.org/JA54XD25ZK

Cite

RIS / Bibtex
APA
Albostan, A., & Özek, A. (1997). Singular Perturbation Problems Using Indefinite Lyapunov Functions. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi, 10(2), 64-78. https://izlik.org/JA54XD25ZK
AMA
1.Albostan A, Özek A. Singular Perturbation Problems Using Indefinite Lyapunov Functions. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi. 1997;10(2):64-78. https://izlik.org/JA54XD25ZK
Chicago
Albostan, Ayhan, and Ahmet Özek. 1997. “Singular Perturbation Problems Using Indefinite Lyapunov Functions”. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi 10 (2): 64-78. https://izlik.org/JA54XD25ZK.
EndNote
Albostan A, Özek A (December 1, 1997) Singular Perturbation Problems Using Indefinite Lyapunov Functions. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 10 2 64–78.
IEEE
[1]A. Albostan and A. Özek, “Singular Perturbation Problems Using Indefinite Lyapunov Functions”, Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi, vol. 10, no. 2, pp. 64–78, Dec. 1997, [Online]. Available: https://izlik.org/JA54XD25ZK
ISNAD
Albostan, Ayhan - Özek, Ahmet. “Singular Perturbation Problems Using Indefinite Lyapunov Functions”. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 10/2 (December 1, 1997): 64-78. https://izlik.org/JA54XD25ZK.
JAMA
1.Albostan A, Özek A. Singular Perturbation Problems Using Indefinite Lyapunov Functions. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi. 1997;10:64–78.
MLA
Albostan, Ayhan, and Ahmet Özek. “Singular Perturbation Problems Using Indefinite Lyapunov Functions”. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi, vol. 10, no. 2, Dec. 1997, pp. 64-78, https://izlik.org/JA54XD25ZK.
Vancouver
1.Ayhan Albostan, Ahmet Özek. Singular Perturbation Problems Using Indefinite Lyapunov Functions. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi [Internet]. 1997 Dec. 1;10(2):64-78. Available from: https://izlik.org/JA54XD25ZK

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