SavedAdd your journal

Journals / Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi / 1997 / Cilt: 10 Sayı: 2

Singular Perturbation Problems Using Indefinite Lyapunov Functions

Ayhan ALBOSTAN
Ahmet ÖZEK
Pages
64–78
Publication Date
1997-12-31
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:With a dynamic system of differential equations consisting of many variables the singular perturbation methods are of great importance.
📊
Key Findings & Data:With a dynamic system of differential equations consisting of many variables the singular perturbation methods are of great importance.
💡
Conclusion & Impact:With a dynamic system of differential equations consisting of many variables the singular perturbation methods are of great importance.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:indefinite Lyapunov function · singular perturbation · two-time-scale system

Abstract

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

Özet

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

🔖

Cite This Article

ALBOSTAN, A., ÖZEK, A. (1997). Singular Perturbation Problems Using Indefinite Lyapunov Functions. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi, Cilt: 10 Sayı: 2, 64–78. https://ajindex.com/articles/905277

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (11)

  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
  7. V. Kerte'sz, "Seperation oflarge and small solutions using indefinite Lyapunov functions", ZAMM, Vol. 64. pp 366-367, 1984
  8. M. A. Aizerman and F. R. Gantmacher, "Absolule Slabiiily of Regülatör Systems", Holden- Day, Inc. San Francisco, 1964
  9. K.KhaliI Hassan, "Stability Analysis of Nonlinear Multiparameter Singulariy Perturbed Systems. " IEEE Trans. Onautomalic Control.40-32(3), pp 260-263, March 1987
  10. P.V. Kokotovic, Hassan K.K.haliI and J.O'Reilly, "Sngular Pmurbatmns Methods m Cantrol, analysis anrfOerigr, ", Academic Press, New York, 19Ç6
  11. 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.