'ıtem$, /'renrtce-7'fa//", UpperSaddIeRiver, N. J., 1996." />
Araştırma Makalesi
BibTex RIS Kaynak Göster

Singular Perturbation Problems Using Indefinite Lyapunov Functions

Yıl 1997, Cilt: 10 Sayı: 2, 64 - 78, 31.12.1997

Ayhan Albostan , Ahmet Özek

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] K. Kl]alilHassan, "Aron/mea7'S>'ıtem$, /'renrtce-7'fa//", UpperSaddIeRiver, N. J., 1996.
  • [2] M. Vİdyasagar, "Nonlmear Systems Anatysis", Prentice-HaIl, ini:. Englewood Cliffs, N. J., 1996.
  • [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] T. Yoshizawa, "Staiility Theory by Lyapumv's Seconıl Method", TheîAatb. Soc. ofjapan, 1966.
  • [5] N. Rouche, L. Habets, M. Laloıv, "Stabilily Theory by Lyapunov's Direct Method. Springeı", VewYork, 1977.
  • [6] J. d'Azzo John and H. Houpls Constantine, "Liııear Control System", Mc Graw-Hill Book Company, New York, 1990.
  • [7]. V. Kerte'sz, "Application of indefinite Lyapunov fanction for stability investigations", ZAMMVo\. 63., pp 66-68, 1983.
  • [8] V. Kerte'sz, "Seperation oflarge and small solutions using indefinite Lyapunov functions", ZAMM, Vol. 64. pp 366-367, 1984.
  • [9] M. A. Aizerman and F. R. Gantmacher, "Absolule Slabiiily of Regülatör Systems", Holden- Day, Inc. San Francisco, 1964.
  • [10] K.KhaliI Hassan, "Stability Analysis of Nonlinear Multiparameter Singulariy Perturbed Systems. " IEEE Trans. Onautomalic Control .40-32(3), pp 260-263, March 1987.
  • [11] P.V. Kokotovic, Hassan K.K.haliI and J.O'Reilly, "Sngular Pmurbatmns Methods m Cantrol, analysis anrfOerigr, ", Academic Press, New York, 19Ç6.
  • [12] H. Ch0w Joe and V. Kokotovic Petar, '-Two-Time-ScaIe Feedback Design of a CIass of Nnn'inear Systems", IEEE Trcms. On. A-utomalic CoMrol, Vol. AC-23, No. 3, June 1978.

Singular Perturbation Problems Using Indefinite Lyapunov Functions

Yıl 1997, Cilt: 10 Sayı: 2, 64 - 78, 31.12.1997

Ayhan Albostan , Ahmet Özek

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] K. Kl]alilHassan, "Aron/mea7'S>'ıtem$, /'renrtce-7'fa//", UpperSaddIeRiver, N. J., 1996.
  • [2] M. Vİdyasagar, "Nonlmear Systems Anatysis", Prentice-HaIl, ini:. Englewood Cliffs, N. J., 1996.
  • [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] T. Yoshizawa, "Staiility Theory by Lyapumv's Seconıl Method", TheîAatb. Soc. ofjapan, 1966.
  • [5] N. Rouche, L. Habets, M. Laloıv, "Stabilily Theory by Lyapunov's Direct Method. Springeı", VewYork, 1977.
  • [6] J. d'Azzo John and H. Houpls Constantine, "Liııear Control System", Mc Graw-Hill Book Company, New York, 1990.
  • [7]. V. Kerte'sz, "Application of indefinite Lyapunov fanction for stability investigations", ZAMMVo\. 63., pp 66-68, 1983.
  • [8] V. Kerte'sz, "Seperation oflarge and small solutions using indefinite Lyapunov functions", ZAMM, Vol. 64. pp 366-367, 1984.
  • [9] M. A. Aizerman and F. R. Gantmacher, "Absolule Slabiiily of Regülatör Systems", Holden- Day, Inc. San Francisco, 1964.
  • [10] K.KhaliI Hassan, "Stability Analysis of Nonlinear Multiparameter Singulariy Perturbed Systems. " IEEE Trans. Onautomalic Control .40-32(3), pp 260-263, March 1987.
  • [11] P.V. Kokotovic, Hassan K.K.haliI and J.O'Reilly, "Sngular Pmurbatmns Methods m Cantrol, analysis anrfOerigr, ", Academic Press, New York, 19Ç6.
  • [12] H. Ch0w Joe and V. Kokotovic Petar, '-Two-Time-ScaIe Feedback Design of a CIass of Nnn'inear Systems", IEEE Trcms. On. A-utomalic CoMrol, Vol. AC-23, No. 3, June 1978.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Konular Elektrik Mühendisliği
Bölüm Araştırma Makaleleri
Yazarlar

Ayhan Albostan

Ahmet Özek Bu kişi benim

Yayımlanma Tarihi 31 Aralık 1997
Kabul Tarihi 1 Temmuz 1997
Yayımlandığı Sayı Yıl 1997 Cilt: 10 Sayı: 2

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.
AMA Albostan A, Özek A. Singular Perturbation Problems Using Indefinite Lyapunov Functions. ESOGÜ Müh Mim Fak Derg. Aralık 1997;10(2):64-78.
Chicago Albostan, Ayhan, ve Ahmet Özek. “Singular Perturbation Problems Using Indefinite Lyapunov Functions”. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi 10, sy. 2 (Aralık 1997): 64-78.
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 A. Albostan ve A. Özek, “Singular Perturbation Problems Using Indefinite Lyapunov Functions”, ESOGÜ Müh Mim Fak Derg, c. 10, sy. 2, ss. 64–78, 1997.
ISNAD Albostan, Ayhan - Özek, Ahmet. “Singular Perturbation Problems Using Indefinite Lyapunov Functions”. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 10/2 (Aralık 1997), 64-78.
JAMA 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, 1997, ss. 64-78.
Vancouver Albostan A, Özek A. Singular Perturbation Problems Using Indefinite Lyapunov Functions. ESOGÜ Müh Mim Fak Derg. 1997;10(2):64-78.
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