Asymptotic stability of nonlinear systems with unbounded delays
| Autor: | Man-chun Tan |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Differential equation
Asymptotic stability Feedback control Stabilization of time-delay system Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS State feedback control Non linear stability Matrix (mathematics) Nonlinear system Exponential stability Control theory Functional equation System with unbounded delay Analysis Mathematics Numerical stability |
| Zdroj: | Journal of Mathematical Analysis and Applications. 337(2):1010-1021 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2007.04.019 |
| Popis: | Some asymptotic stability criteria are derived for systems of nonlinear functional differential equations with unbounded delays. The criteria are described as matrix equations or matrix inequalities, which are computationally flexible and efficient. The theories are then applied to the stabilization of time-delay systems via standard feedback control (SFC) or time-delayed feedback control (DFC). Several examples are given to illustrate the results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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