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Stochastic Processes Formalism and Applications pp 125–131Cite as

Stability of stochastic systems

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Part of the book series: Lecture Notes in Physics ((LNP,volume 184))

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References

  1. L. Casari: Asymptotic Behaviour and Stability Problems in Ordinary Differential Equations, Springer-Verlag, Berlin (1959).

    Google Scholar 

  2. A. Papoulis: Probability, Random Variables and Stochastic Processes, McGraw-Hill, New York (1965), Chap. 8, pp.260–261.

    Google Scholar 

  3. F. Kozin: A Survey of Stability of Stochastic Systems, Automatica, 5, 95–112 (1969)

    Google Scholar 

  4. F. Kozin: On Almost Sure Stability of Linear Systems with Random Coefficients, J. Math. and Phys. 42, 59–67 (1963).

    Google Scholar 

  5. T.K. Caughey and A.H. Gray, Jr.: On Almost Sure Stability of Linear Dynamic Systems with Stochastic Coefficients, J. Appl. Mech., 32, 365–372 (1965).

    Google Scholar 

  6. E.F. Infante: On the Stability of Some Linear Non-autonomous Random Systems, J. Appl. Mech. 35, 7–12 (1968).

    Google Scholar 

  7. F.T. Man: On the Almost Sure Stability of Linear Stochastic Systems, J. Appl. Mech. 37, 541–543 (1970).

    Google Scholar 

  8. F. Kozin and C.M. Wu: On the Stability of Linear Stochastic Differential Equations, J. Appl. Mech. 40, 87–92 (1973).

    Google Scholar 

  9. A.H. Gray, Jr.: Frequency-Dependent Almost Sure Stability Conditions for a Parametrically Excited Random Vibrational System, J.Appl.Mech.34,1017–1019 (1967).

    Google Scholar 

  10. S.T. Ariaratnam: Stability of Mechanical Systems under Stochastic Parametric Excitation, Proceedings of International Symposium on Stability of Stochastic Dynamical Systems, Lecture Notes in Mathematics No.294, R.F. Curtain, ed., Springer-Verlag, Berlin (1972), pp. 291–302.

    Google Scholar 

  11. R.Z. Khasminakii: Necessary and Sufficient Conditions for the Asymptotic Stability of Linear Stochastic Systems, Theory. Prob. Appl. 12, 124–157 (1967).

    Google Scholar 

  12. F. Kozin and S. Prodromou, Necessary and Sufficient Conditions for Almost Sure Sample Stability of Linear Its equations, SIAM J. Appl.Maths. 21, 413–424 (1971).

    Google Scholar 

  13. R.L. Stratonovich, Topics in the Theory of Random Noise, Vol. II, Gordon and Breach, New York (1967), Chap. 4, pp. 97–100.

    Google Scholar 

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Authors and Affiliations

  1. Department of Electrical Communication Engineering, Indian Institute of Science, 560012, Bangalore, India

    G. V. Anand

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  1. G. V. Anand
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G. S. Agarwal S. Dattagupta

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© 1983 Springer-Verlag

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Anand, G.V. (1983). Stability of stochastic systems. In: Agarwal, G.S., Dattagupta, S. (eds) Stochastic Processes Formalism and Applications. Lecture Notes in Physics, vol 184. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12326-1_15

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  • DOI: https://doi.org/10.1007/3-540-12326-1_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12326-2

  • Online ISBN: 978-3-540-40923-6

  • eBook Packages: Springer Book Archive

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