Accurate solution estimates for nonlinear nonautonomous vector difference equations
The paper deals with the vector discrete dynamical system xk+1=Akxk+fk(xk). Thewell-known result by Perron states that this system is asymptotically stable if Ak≡A=const is stable and fk(x)≡f˜(x)=o(‖x‖). Perron's result gives no information about the size of the region of asymptotic stability...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2004-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504306184 |