Practical uniform stability of nonlinear differential delay equations. (English) Zbl 1238.34137
Summary: We investigate the problem of global uniform practical exponential stability of a general nonlinear non-autonomous differential delay equations. Using the global uniform practical exponential stability of the corresponding differential equation without delay, we show that the differential delay equation will remain globally uniformly practically exponentially stable provided that the time-lag is small enough. Finally, some illustrative examples are given to demonstrate the validity of the results.
MSC:
| 34K20 | Stability theory of functional-differential equations |
Keywords:
nonlinear differential delay equations; global uniform practical stability; global uniform exponential stabilityReferences:
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