Absolute Stability of Discrete-Time Systems with Delay
We investigate the stability of nonlinear nonautonomous discrete-time systems with delaying arguments, whose linear part has slowly varying coefficients, and the nonlinear part has linear majorants. Based on the “freezing†technique to discrete-time systems, we derive explicit conditions f...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-02-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2008/396504 |
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Article |
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doaj-6643dd61c1934ec69b8cb9c2bc68b6712020-11-24T23:18:02ZengSpringerOpenAdvances in Difference Equations1687-18392008-02-01200810.1155/2008/396504Absolute Stability of Discrete-Time Systems with DelayRigoberto MedinaWe investigate the stability of nonlinear nonautonomous discrete-time systems with delaying arguments, whose linear part has slowly varying coefficients, and the nonlinear part has linear majorants. Based on the “freezing†technique to discrete-time systems, we derive explicit conditions for the absolute stability of the zero solution of such systems.http://dx.doi.org/10.1155/2008/396504 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rigoberto Medina |
| spellingShingle |
Rigoberto Medina Absolute Stability of Discrete-Time Systems with Delay Advances in Difference Equations |
| author_facet |
Rigoberto Medina |
| author_sort |
Rigoberto Medina |
| title |
Absolute Stability of Discrete-Time Systems with Delay |
| title_short |
Absolute Stability of Discrete-Time Systems with Delay |
| title_full |
Absolute Stability of Discrete-Time Systems with Delay |
| title_fullStr |
Absolute Stability of Discrete-Time Systems with Delay |
| title_full_unstemmed |
Absolute Stability of Discrete-Time Systems with Delay |
| title_sort |
absolute stability of discrete-time systems with delay |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 |
| publishDate |
2008-02-01 |
| description |
We investigate the stability of nonlinear nonautonomous discrete-time systems with delaying arguments, whose linear part has slowly varying coefficients, and the nonlinear part has linear majorants. Based on the “freezing†technique to discrete-time systems, we derive explicit conditions for the absolute stability of the zero solution of such systems. |
| url |
http://dx.doi.org/10.1155/2008/396504 |
| work_keys_str_mv |
AT rigobertomedina absolutestabilityofdiscretetimesystemswithdelay |
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