Exponential stability for singularly perturbed systems with state delays

Electronic Journal of Qualitative Theory of Differential Equations

Volumn , Issue , 2000, Pages 1-8

  Dragan, V ^a   Ionita, A ^b  

^a INSTITUTE OF MATHEMATICS   (Romania)

^b Institute for Theoretical and Experimental Analysis of Aeronautical Structures Bucharest   (Romania)

Author keywords

Asymptotic expansions; Differential equations with delays; Exponential stability; Singular perturbations

Indexed keywords

EID: 3042571558     PISSN: 14173875     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. V. Dragan, A.Ionita - Stabilization of singular perturbed linearly systems with delay and saturating control, Mediteranean Conference on Control and Automation, Haifa, 1999, Israel.
2. E. Fridman - Decoupling transformation of singular perturbed systems with small delays and its applications (Submitted to ZAMM), 1995.
3. A. Halanay - Differential equations, stability, oscillations, time lag, Academic Press, New York, 1966.
4. J. Hale, S. Lunel - Introduction to functional equations, Springer-Verlag, 1993.
5. A.I. Klimusev - About asymptotic stability for delay systems with small coefficients of derivative, (in Russian), Prikladnaia Mathematica i mehanica, Tom XXVI, pp.52-61, 1962.
6. A.I. Klimusev, N.N. Krasovski - Uniform asymptotic stability of system of differential equations having small parameters at the derivatives, Applied. Math. and Mech., 25, 680-690, (in Russian), 1962.
7. M. Pena - Exponential dichotomy for singularly perturbed linear functional differential equations with small delays, Applicable Analysis, 47, 213-225, 1992.
8. A.B. Vasilieva, V.F. Butuzov - Asymptotic expansions of the solutions of singularly perturbed equations, (in Russian), Nauka, Moskow, 1973.