Keywords
- Linear Oscillator
- Mathieu Equation
- Continuous Trajectory
- Linear Stochastic System
- Global Lipschitz Condition
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References
Arnold, L., and V. Wihstutz: Stability and growth of the solutions of ÿ+fty=o where ft is a negative stationary ergodic process (to appear).
Curtain, R. (ed.): Stability of Stochastic Dynamical Systems. Springer, Berlin-Heidelberg-New York 1972 (Lecture Notes in Mathematics 294)
Infante, E.F.: On the stability of some linear nonautonomous random systems. ASME J. Appl. Math. 36(1968), 7–12
Khasminskii, R.S.: Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems. Theory Prob.Appl. 12 (1967), 144–147
Khasminskii, R.S.: Stability of Systems of Differential Equations with Random Perturbation of their Parameters. Nauka, Moscow 1969 (Russian).
Kozin, F.: Stability of the linear stochastic system. In: Curtain, R. (ed.): [2], 186–229
Rümelin, W.: Stability and growth of the solutions of ÿ + fty=o where ft is a positive stationary ergodic process (to appear in: Transactions of the Eighth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, Prague 1978).
Skorokhod, A.V.: Studies in the Theory of Random Processes. Addison-Wesley, Reading (Mass.) 1965.
Wihstutz, V.: Ober Stabilität und Wachstum von Lösungen linearer Differentialgleichungen mit stationären zufälligen Parametern. Dissertation Bremen 1975.
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Arnold, L., Wihstutz, V. (1978). On the stability and growth of real noise parameter-excited linear systems. In: Kallianpur, G., Kölzow, D. (eds) Measure Theory Applications to Stochastic Analysis. Lecture Notes in Mathematics, vol 695. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062668
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DOI: https://doi.org/10.1007/BFb0062668
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