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Singular Perturbation Problems Using Indefinite Lyapunov Functions

Cilt: 10 Sayı: 2 31 Aralık 1997
Ayhan Albostan , Ahmet Özek
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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

Kaynakça

  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.

Kaynak Göster

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. ESOGÜ Müh Mim Fak Derg. 1997;10(2):64-78. https://izlik.org/JA54XD25ZK
Chicago
Albostan, Ayhan, ve 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 (01 Aralık 1997) Singular Perturbation Problems Using Indefinite Lyapunov Functions. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 10 2 64–78.
IEEE
[1]A. Albostan ve A. Özek, “Singular Perturbation Problems Using Indefinite Lyapunov Functions”, ESOGÜ Müh Mim Fak Derg, c. 10, sy 2, ss. 64–78, Ara. 1997, [çevrimiçi]. Erişim adresi: 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 (01 Aralık 1997): 64-78. https://izlik.org/JA54XD25ZK.
JAMA
1.Albostan A, Özek A. Singular Perturbation Problems Using Indefinite Lyapunov Functions. ESOGÜ Müh Mim Fak Derg. 1997;10:64–78.
MLA
Albostan, Ayhan, ve Ahmet Özek. “Singular Perturbation Problems Using Indefinite Lyapunov Functions”. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi, c. 10, sy 2, Aralık 1997, ss. 64-78, https://izlik.org/JA54XD25ZK.
Vancouver
1.Ayhan Albostan, Ahmet Özek. Singular Perturbation Problems Using Indefinite Lyapunov Functions. ESOGÜ Müh Mim Fak Derg [Internet]. 01 Aralık 1997;10(2):64-78. Erişim adresi: https://izlik.org/JA54XD25ZK