Stability of nonlinear systems under constantly acting perturbations
In this paper, we investigate total stability, attractivity and uniform stability in terms of two measures of nonlinear differential systems under constant perturbations. Some sufficient conditions are obtained using Lyapunov's direct method. An example is also worked out.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000330 |
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| _version_ | 1832559874435710976 |
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| author | Xinzhi Liu S. Sivasundaram |
| author_facet | Xinzhi Liu S. Sivasundaram |
| author_sort | Xinzhi Liu |
| collection | DOAJ |
| description | In this paper, we investigate total stability, attractivity and uniform stability in
terms of two measures of nonlinear differential systems under constant perturbations. Some sufficient
conditions are obtained using Lyapunov's direct method. An example is also worked out. |
| format | Article |
| id | doaj-art-f87ec3741a194b2a944892a79406a0da |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f87ec3741a194b2a944892a79406a0da2025-02-03T01:29:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118227327810.1155/S0161171295000330Stability of nonlinear systems under constantly acting perturbationsXinzhi Liu0S. Sivasundaram1Department of Applied Mathematics, University of Waterloo, Ontario, Waterloo N2L 3G1, CanadaDepartment of Mathematics and Physical Sciences, Embry-Riddle Aeronautical University, Daytoha Beacl 32114, FL, USAIn this paper, we investigate total stability, attractivity and uniform stability in terms of two measures of nonlinear differential systems under constant perturbations. Some sufficient conditions are obtained using Lyapunov's direct method. An example is also worked out.http://dx.doi.org/10.1155/S0161171295000330stabilityperturbationLyapunov functiontwo measures. |
| spellingShingle | Xinzhi Liu S. Sivasundaram Stability of nonlinear systems under constantly acting perturbations International Journal of Mathematics and Mathematical Sciences stability perturbation Lyapunov function two measures. |
| title | Stability of nonlinear systems under constantly acting perturbations |
| title_full | Stability of nonlinear systems under constantly acting perturbations |
| title_fullStr | Stability of nonlinear systems under constantly acting perturbations |
| title_full_unstemmed | Stability of nonlinear systems under constantly acting perturbations |
| title_short | Stability of nonlinear systems under constantly acting perturbations |
| title_sort | stability of nonlinear systems under constantly acting perturbations |
| topic | stability perturbation Lyapunov function two measures. |
| url | http://dx.doi.org/10.1155/S0161171295000330 |
| work_keys_str_mv | AT xinzhiliu stabilityofnonlinearsystemsunderconstantlyactingperturbations AT ssivasundaram stabilityofnonlinearsystemsunderconstantlyactingperturbations |