On stability analysis of linear stochastic and time-varying deterministic systems

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On stability analysis of linear stochastic and time-varying deterministic systems

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International Conference on Symbolic and Algebraic Computation archive
Papers from the international symposium on Symbolic and algebraic computation table of contents

Berkeley, California, United States

Pages: 278 - 283

Year of Publication: 1992

ISBN:0-89791-489-9

Author

Cetin Cetinkaya

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

Publisher

ACM New York, NY, USA

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Cetinkaya, C., On Almost-Sure Asymptotic Stability of Stochastically Excited Elastic Panel in Supersonic Flow, M.S. Thesis, Aeronautical and Astronautical Engineering in the Graduate School of the University of Illinois at Urbana- Champaign, 1991.
	2	Graham, A., Kronecker Products and Matrix Calculus with Applications, Ellis Horwood Ltd., Chichester, England, 1981.
	3	Ibrahim, R.A. and S.R. Madaboosi, "Stochastic Flutter of a Panel Subjected to Random in-plane Forces- Part I: Dimensional Case," AIAA Paper, No. 1166, 1989.
	4	Ito, K. "On stochastic Differential Equations Memoirs," Am. Math. Soc., No.4, 1951.
	5	Khasminskii, R.Z.,"Necessary and Sufficient Conditions for the Asymptotic Stability of Linear Systems," Tiler. Prob. Appls., 12, 1967, pp. 144-147.
	6	Kozin, F., "Stability of the Linear Systems," Lecture Notes in Mathematics: Stability of Stochastic Dynamical Systems, Springer-Verlag,1972, pp. 187-221.
	7	Kozin, F. and R. M. Milstead, "The Stability of a Moving Elastic Strip Subjected to Random Parametric Excitation," Trans. ASME, Vol.46, June 1979, pp. 404- 410.
	8	Kozin, F. and C.M. Wu,"On the stability of Linear Stochastic Differential Equations," J. Appl. Mech. ,Vol.46, 1973, 1973, pp. 87-92.
	9	Milstead, R.M.,"The Dynamical Stability of an Axially Moving Thin Elastic Strip Subjected to Random Parametric Excitation," Ph.D. Thesis, Department of Mechanical Engineering, Polytechnic Institute of New York, June 1975.
	10	Parks, P.C. "A Stability Criterion for Panel Flutter via the Second Method of Lyapunov," AIAA Journal, 4(1), 1961, pp. 175-177
	11	M. Vidyasagar, Nonlinear systems analysis (2nd ed.), Prentice-Hall, Inc., Upper Saddle River, NJ, 1993