Asymptotic stability and instability criteria for some elastic systems by Liapunov’s direct method
Author:
R. H. Plaut
Journal:
Quart. Appl. Math. 29 (1972), 535-540
MSC:
Primary 73.35
DOI:
https://doi.org/10.1090/qam/421248
MathSciNet review:
421248
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Additional Information
- V. I. Zubov, Methods of A. M. Lyapunov and their application, P. Noordhoff Ltd, Groningen, 1964. Translation prepared under the auspices of the United States Atomic Energy Commission; edited by Leo F. Boron. MR 0179428
A. A. Movchan, The direct method of Liapunov in stability problems of elastic systems, Prikl. Mat. i Mekh. 23, 483–493 (1959); English translation, Appl. Math. and Mech. 3, 686–700 (1959)
R. H. Plaut, A study of the dynamic stability of continuous elastic systems by Liapunov’s direct method, Rept. No. AM-67-3, College of Engineering, University of California, Berkeley, May 1967
- Jack K. Hale, Dynamical systems and stability, J. Math. Anal. Appl. 26 (1969), 39–59. MR 244582, DOI https://doi.org/10.1016/0022-247X%2869%2990175-9
- Marshall Slemrod, Asymptotic behavior of a class of abstract dynamical systems, J. Differential Equations 7 (1970), 584–600. MR 259291, DOI https://doi.org/10.1016/0022-0396%2870%2990103-8
V. I. Zubov, Methods of A. M. Liapunov and their application, English translation, P. Noordhoff Ltd., Groningen, 1964
A. A. Movchan, The direct method of Liapunov in stability problems of elastic systems, Prikl. Mat. i Mekh. 23, 483–493 (1959); English translation, Appl. Math. and Mech. 3, 686–700 (1959)
R. H. Plaut, A study of the dynamic stability of continuous elastic systems by Liapunov’s direct method, Rept. No. AM-67-3, College of Engineering, University of California, Berkeley, May 1967
J. K. Hale, Dynamical systems and stability, J. Math. Anal. Appl. 26, 39–59 (1969)
M. Slemrod, Asymptotic behavior of a class of abstract dynamical systems, J. Diff. Eqs. 7, 584–600 (1970)
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Article copyright:
© Copyright 1972
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