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Stability of solutions of nonlinear systems with unbounded perturbations |
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| Authors: | A. Yu. Aleksandrov |
| Affiliation: | (1) St.-Petersburg State University, USSR |
| Abstract: | We study systems of differential equations with perturbations that are unbounded functions of time. We suggest a method for constructing Lyapunov functions to determine conditions under which the perturbations do not affect the asymptotic stability of the solutions. Translated fromMatematicheskie Zametki, Vol. 63, No. 1, pp. 3–8, January, 1998. |
| Keywords: | unbounded perturbations asymptotic stability Lyapunov functions |
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