Exponential stability of dynamic equations on time scales
We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities on these functions. Several examples are given.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2005-05-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/ADE.2005.133 |
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doaj-3e886f01fc4949709581f9f9e963c04a |
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Article |
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doaj-3e886f01fc4949709581f9f9e963c04a2020-11-25T01:58:31ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472005-05-012005213314410.1155/ADE.2005.133Exponential stability of dynamic equations on time scalesYoussef N. RaffoulAllan C. PetersonWe investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities on these functions. Several examples are given.http://dx.doi.org/10.1155/ADE.2005.133 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Youssef N. Raffoul Allan C. Peterson |
| spellingShingle |
Youssef N. Raffoul Allan C. Peterson Exponential stability of dynamic equations on time scales Advances in Difference Equations |
| author_facet |
Youssef N. Raffoul Allan C. Peterson |
| author_sort |
Youssef N. Raffoul |
| title |
Exponential stability of dynamic equations on time scales |
| title_short |
Exponential stability of dynamic equations on time scales |
| title_full |
Exponential stability of dynamic equations on time scales |
| title_fullStr |
Exponential stability of dynamic equations on time scales |
| title_full_unstemmed |
Exponential stability of dynamic equations on time scales |
| title_sort |
exponential stability of dynamic equations on time scales |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2005-05-01 |
| description |
We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities on these functions. Several examples are given. |
| url |
http://dx.doi.org/10.1155/ADE.2005.133 |
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AT youssefnraffoul exponentialstabilityofdynamicequationsontimescales AT allancpeterson exponentialstabilityofdynamicequationsontimescales |
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