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On the stability and growth of real noise parameter-excited linear systems

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Measure Theory Applications to Stochastic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 695))

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References

  1. 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).

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  2. Curtain, R. (ed.): Stability of Stochastic Dynamical Systems. Springer, Berlin-Heidelberg-New York 1972 (Lecture Notes in Mathematics 294)

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  3. Infante, E.F.: On the stability of some linear nonautonomous random systems. ASME J. Appl. Math. 36(1968), 7–12

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  4. Khasminskii, R.S.: Necessary and sufficient conditions for the asymptotic stability of linear stochastic systems. Theory Prob.Appl. 12 (1967), 144–147

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  5. Khasminskii, R.S.: Stability of Systems of Differential Equations with Random Perturbation of their Parameters. Nauka, Moscow 1969 (Russian).

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  6. Kozin, F.: Stability of the linear stochastic system. In: Curtain, R. (ed.): [2], 186–229

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  7. 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).

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  8. Skorokhod, A.V.: Studies in the Theory of Random Processes. Addison-Wesley, Reading (Mass.) 1965.

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  9. Wihstutz, V.: Ober Stabilität und Wachstum von Lösungen linearer Differentialgleichungen mit stationären zufälligen Parametern. Dissertation Bremen 1975.

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Author information

Authors and Affiliations

  1. Universität Bremen, Germany

    L. Arnold & V. Wihstutz

Authors
  1. L. Arnold
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  2. V. Wihstutz
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G. Kallianpur D. Kölzow

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© 1978 Springer-Verlag

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09098-4

  • Online ISBN: 978-3-540-35556-4

  • eBook Packages: Springer Book Archive

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