Recent Progress in Stability and Stabilization of Systems with Time-Delays
This paper overviews the research investigations pertaining to stability and stabilization of control systems with time-delays. The prime focus is the fundamental results and recent progress in theory and applications. The overview sheds light on the contemporary development on the linear matrix ine...
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| Veröffentlicht in: | Mathematical problems in engineering 2017-01, Vol.2017 (2017), p.1-25 |
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| container_title | Mathematical problems in engineering |
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| creator | Mahmoud, Magdi S. |
| description | This paper overviews the research investigations pertaining to stability and stabilization of control systems with time-delays. The prime focus is the fundamental results and recent progress in theory and applications. The overview sheds light on the contemporary development on the linear matrix inequality (LMI) techniques in deriving both delay-independent and delay-dependent stability results for time-delay systems. Particular emphases will be placed on issues concerned with the conservatism and the computational complexity of the results. Key technical bounding lemmas and slack variable introduction approaches will be presented. The results will be compared and connections of certain delay-dependent stability results are also discussed. |
| doi_str_mv | 10.1155/2017/7354654 |
| format | Article |
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| identifier | ISSN: 1024-123X |
| ispartof | Mathematical problems in engineering, 2017-01, Vol.2017 (2017), p.1-25 |
| issn | 1024-123X 1563-5147 |
| language | eng |
| recordid | cdi_proquest_journals_1913636783 |
| source | Wiley Online Library Open Access; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection |
| subjects | Communication Control stability Dynamical systems Eigenvalues Euclidean space Linear matrix inequalities Mathematical problems Ordinary differential equations Robust control Slack variables Stability Stabilization Studies Systems stability Time delay systems Time dependence |
| title | Recent Progress in Stability and Stabilization of Systems with Time-Delays |
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