On \(\alpha\)-stability criteria of nonlinear systems with multiple time delays (Q1389028)
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scientific article; zbMATH DE number 1164119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\alpha\)-stability criteria of nonlinear systems with multiple time delays |
scientific article; zbMATH DE number 1164119 |
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On \(\alpha\)-stability criteria of nonlinear systems with multiple time delays (English)
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18 January 1999
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The authors study nonlinear functional-differential systems with constant delays of the type \[ \dot x(t)=A_0(t)x(t)+\sum_{k=1}^m g_k(., x(t-\tau_k) \] where \(\tau_k\) are the delays, \(A_0(t)\) is a variable matrix, and \(g_k\) are the nonlinearities with bounded Jacobians. Stability conditions are derived. They are based on the Lozinskii logarithm norm (a matrix measure).
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nonlinear functional-differential equations with delay
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stability
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0.9853863
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