Abstract
A great number of concepts of stability are illustrated and unified in the present paper by means of the same mathematical relations, which give the possibility to obtain concrete definitions of stability and some correlations between them.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Antosiewicz H. Boundedness and stability.— In: Nonlinear differential equations and nonlinear mechanics. New York: Acad, press, 1963.— 270 p.
Cesari L. Asymptotic behavior and stability problems in ordinary differential equations. — Berlin: Springer, 1959.— 271 p.
Hahn W. Theory and application of Liapunov direct method.— Englewood Cliffs: Prentice-Hall, 1963.
LaSalle J., Lefschetz S. Stability by Liapunov’s direct method.— New York: Acad, press, 1961.
Lefschetz S. Differential equations: geometric theory.— New York: Intersci. publ., 1957.— 364 p.
Magiros D. Mathematical models of physical and social systems.— Practica, Athens Academy of sciences, 1976.
Magiros D. Characteristic properties of linear and nonlinear systems.— Ibid.
Magiros D. On the stability of a special class of precessions.— In: Yolume in memorium D. Eginitis. Athens, s. a., p. 189–198.
Thom R. Structural stability and morphogenesis.— Reading. (Mass.): Benjamin, 1975.— 362 p.
Vrkoc I. On some stability problems.— In: Proc. conf. Prague. New York: Acad, press, 1963, p. 217–221.
Yoshizawa T. Stability theory by Liapunov second method.— Tokyo: Math. Soc. Jap., 1966.— 223 p.
Zubov V. Mathematical methods for the study of automatic control systems.— New York: MacMillan, 1963.— 324 p.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 D. Reidel Publishing Company, Dordrecht, Holland
About this chapter
Cite this chapter
Magiros, D.G. (1985). Unification of Stability Concepts. -Mat. Fizika, V. 33 (1983): 16–21.. In: Tzafestas, S.G. (eds) Selected Papers of Demetrios G. Magiros. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5368-0_43
Download citation
DOI: https://doi.org/10.1007/978-94-009-5368-0_43
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8869-5
Online ISBN: 978-94-009-5368-0
eBook Packages: Springer Book Archive