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The effect of approximating distributed delay control laws on stability. (English) Zbl 1134.93392
Niculescu, Silviu-Iulian (ed.) et al., Advances in time-delay systems. Berlin: Springer (ISBN 3-540-20890-9/pbk). Lecture Notes in Computational Science and Engineering 38, 207-222 (2004).
Authors’ summary: An overview of stability results on the implementation of distributed delay control laws, arising in the context of finite spectrum assignment, is given. First the case where distributed delays are approximated with a finite sum of point-wise delays is considered. The instability mechanism is briefly discussed and conditions for a safe implementation are presented. Secondly modifications of the control law to remove the limitations, imposed by these conditions, are outlined.
For the entire collection see [Zbl 1051.34002].

MSC:
93D09 Robust stability
93B40 Computational methods in systems theory (MSC2010)
93C23 Control/observation systems governed by functional-differential equations
93D15 Stabilization of systems by feedback
Software:
DDE-BIFTOOL
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