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Zbl 1145.93302
Richard, Jean-Pierre
Time-delay systems: an overview of some recent advances and open problems. (English)
[J] Automatica 39, No. 10, 1667-1694 (2003). ISSN 0005-1098

Summary: After presenting some motivations for the study of time-delay system, this paper recalls modifications (models, stability, structure) arising from the presence of the delay phenomenon. A brief overview of some control approaches is then provided, the sliding mode and time-delay controls in particular. Lastly, some open problems are discussed: the constructive use of the delayed inputs, the digital implementation of distributed delays, the control via the delay, and the handling of information related to the delay value.

MSC 2000:: *93-02 Research monographs (systems and control)
93C23 Systems governed by functional-differential equations
93B12 Variable structure systems
34K20 Stability theory of functional-differential equations

Keywords: Delay systems; Aftereffect; Dead-time; Functional differential equations

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Zentralblatt MATH Berlin [Germany]