Stability investigation of quadratic systems with delay

Journal of Applied Mathematics and Stochastic Analysis

Volumn 13, Issue 1, 2000, Pages 85-92

  Davydov, Vladimir ^a   Khusainov, Denys ^a  

^a TARAS SHEVCHENKO NATIONAL UNIVERSITY OF KYIV   (Ukraine)

Author keywords

Asymptotic Stability; Delay; Lyapunov Function; Quadratic Differential System

Indexed keywords

EID: 52849099286     PISSN: 10489533     EISSN: 16872177     Source Type: Journal    
DOI: 10.1155/S1048953300000095     Document Type: Article

References (9)

1. Hale, J., Theory of Functional Differential Equations, Springer Verlag, New York-Heidelberg-Berlin 1977.
2. Barbashin, E.A., Lyapunov Functions, Nauka, Moscow 1970. (Russian)
3. Bihari, I., A generalization of a lemma of Bellman and its applications to uniqueness problem of differential equation, Acta Math. Acad. Sci. Hung. 7 (1954), 81-94.
4. El'sgol'ts, L.E., Introduction to the Theory of Differential Equations with Deviating Arguments, Holden-Day, San Francisco 1966.
5. El'sgol'ts, L.E., Stability of solution of differential-equations, Uspehi Mat. Nauk. 9:4 (1954), 95-112. (Russian)
6. Razumikhin, B.S., About stability of systems with delay, Prikladnaya Mat. i Meh. 20:4 (1956), 500-512. (Russian)
7. Razumikhin, B.S., Method of stability investigation with post-action, DAN USSR 167:6 (1966), 1234-1237.
8. Khusainov, D. Ya. and Davydov, V.F., Stability of delayed systems of quadratic form, DAN Ukrainy 7 (1994), 11-13.
9. Davydov, V.F., Marjozing estimates of solutions of quadratric differential systems with delay, Ukrain. Math. Zurn. 47:4 (1995), 60-68.