VARIATION OF LYAPUNOV METHOD FOR DYNAMIC-SYSTEMS ON TIME SCALES

Date

1994-07-15

Author

KAYMAKCALAN, B
RANGARAJAN, L

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A new comparison theorem that connects the solutions of perturbed and unperturbed dynamic systems in a manner useful to the theory of perturbations is given and this comparison theorem is employed as a stability criterion to compare the asymptotic behaviors of perturbed and unperturbed systems. It is further shown by means of both theory and numerical computation that time scales do offer a unification in order to emphasize the better asymptotic behavior of perturbed systems in both continuous and discrete cases. (C) 1994 Academic Press, Inc.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/64510

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

DOI

https://doi.org/10.1006/jmaa.1994.1254

Collections

Department of Mathematics, Article

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Citation Formats

B. KAYMAKCALAN and L. RANGARAJAN, “VARIATION OF LYAPUNOV METHOD FOR DYNAMIC-SYSTEMS ON TIME SCALES,” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, pp. 356–366, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64510.