Multiplicity-induced-dominancy for delay systems: comprehensive examples in the scalar neutral case. (English) Zbl 1527.93248
Summary: This article focuses on the characterization of a particular spectral property called multiplicity-induced-dominancy applying for linear dynamical systems described by delay-differential equations. More precisely, we characterize the property in the scalar neutral case with respect to the system parameters. Particular attention is paid to the so-called over-order multiplicities corresponding to real double and triple characteristic roots.
MSC:
| 93C43 | Delay control/observation systems |
| 93C23 | Control/observation systems governed by functional-differential equations |
| 93C05 | Linear systems in control theory |
Keywords:
functional differential equations; neutral equations; control theory; stability theory; stabilization of dynamical systems; partial pole placementSoftware:
DLMFReferences:
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