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 |
| Summary: | 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. |
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| ISSN: | 1687-1839 |