On stability of solutions to linear systems with periodic coefficients

Siberian Mathematical Journal

Volumn 42, Issue 2, 2001, Pages 282-296

  Demidenko, G V ^a   Matveeva, I I ^a  

^a SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035593964     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004837029765     Document Type: Article

References (12)

1. Malkin I. G., A Theory of Stability of Motion [in Russian], Nauka, Moscow (1966).
2. Daletskiǐ Yu. L. and Kreǐn M. G., Stability of Solutions to Differential Equations in Banach Space [in Russian], Nauka, Moscow (1970).
3. Yakubovich V. A. and Starzhinskiǐ V. M., Linear Differential Equations with Periodic Coefficients and Some of Their Applications [in Russian], Nauka, Moscow (1972).
4. Andreev Yu. N., Control of Linear Objects in Finite Dimensions [in Russian], Nauka, Moscow (1976).
5. Rozenvasser E. N., Lyapunov Exponents in the Theory of Linear Control Systems [in Russian], Nauka, Moscow (1977).
6. Megan M., "On controllability, stability and the Lyapunov differential equation for linear control systems," Glas. Mat. Ser. III, 13, No. 1, 183-198 (1978).
7. Bittanti S., Bolzern P., and Colaneri P., "The extended periodic Lyapunov lemma," Automatica, 21, 603-605 (1985).
8. Bodunov N. A. and Kotchenko F. F., "On the dependence of stability of linear periodic systems on the period," Differentsial'nye Uravneniya, 24, No. 2, 338-341 (1988).
9. Godunov S. K., Ordinary Differential Equations with Constant Coefficients [in Russian], Novosibirsk Univ., Novosibirsk (1994).
10. Bulgak H., "Pseudoeigenvalues, spectral portrait of a matrix and their connections with different criteria of stability," in: Error Control and Adaptivity in Scientific Computing, NATO Science Series, Kluwer Acad. Publ., Dordrecht, 1999, pp. 95-124.
11. Chetaev N. G., Stability of Motion [in Russian], Nauka, Moscow (1965).
12. Cesari L., Asymptotic Behavior and Stability Problems in Ordinary Differential Equations, Springer-Verlag, Berlin etc. (1959).