The stability of stochastically perturbed orbital motions

Journal of Applied Mathematics and Mechanics

Volumn 60, Issue 4, 1996, Pages 579-590

  Ryashko, L B ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030300622     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(96)00073-1     Document Type: Article

References (11)

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3. 3. HARTMAN P. H., Ordinary Differential Equations. John Wiley, New York, 1964.
4. 4. KATS I. Ya. and KRASOVSKII N. N., The stability of systems with random parameters. Prikl. Mat. Mekh. 24, 5, 809-823, 1960.
5. 5. KHAS'MINSKII R. Z., The Stability of Systems of Differential Equations with Randomly Perturbed Parameters. Nauka, Moscow, 1969.
6. 6. MIL' SHTEIN G. N, The stability of stabilization of periodic motions of autonomous systems. Prikl. Mat. Mekh. 41, 4, 744-749, 1977.
7. 7. MIL' SHTEIN G. N. and RYASHKO L. B., The stability and stabilization of orbits of autonomous systems under random perturbations. Prikl. Mat. Mekh. 56, 6, 951-958, 1992.
8. 8. RYASHKO L. B., Stabilization of linear stochastic systems with perturbations depending on the state and the control. Prikl. Mat. Mekh. 43, 4, 612-620, 1979.
9. 9. LEVIT M. V. and YAKUBOVICH V. A., An algebraic criterion for stochastic stability of linear systems with parametric inference of the white-noise type. Prikl. Mat. Mekh. 36, 1, 142-148, 1972.
10. 10. KRASNOSEL'SKII M. A., LIFSHITS Ye. A. and SOBOLEV A. V., Positive Linear Systems. Nauka, Moscow, 1985.
11. 11. YAKUBOVICH V. A. and STARZHINSKII V. M., Linear Differential Equations with Periodic Coefficients and Their Applications. Nauka, Moscow, 1972.