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@article{Scarciotti:2015:10.1109/TAC.2015.2461093,
author = {Scarciotti, G and Astolfi, A},
doi = {10.1109/TAC.2015.2461093},
journal = {IEEE Transactions on Automatic Control},
title = {Model reduction of neutral linear and nonlinear time-invariant time-delay systems with discrete and distributed delays},
url = {http://dx.doi.org/10.1109/TAC.2015.2461093},
volume = {99},
year = {2015}
}

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TY  - JOUR
AB  - The problem of model reduction by moment matching for linear and nonlinear differential time-delay systems is studied. The class of models considered includes neutral differential time-delay systems with discrete-delays and distributeddelays. The description of moment is revisited by means of a Sylvester-like equation for linear time-delay systems and by means of the center manifold theory for nonlinear time-delay systems. In addition the moments at infinity are characterized for both linear and nonlinear time-delay systems. Parameterized families of models achieving moment matching are given. The parameters can be exploited to derive delay-free reduced order models or time-delay reduced order models with additional properties, e.g. interpolation at an arbitrary large number of points. Finally, the problem of obtaining a reduced order model of an unstable system is discussed and solved.
AU  - Scarciotti,G
AU  - Astolfi,A
DO  - 10.1109/TAC.2015.2461093
PY  - 2015///
SN  - 1558-2523
TI  - Model reduction of neutral linear and nonlinear time-invariant time-delay systems with discrete and distributed delays
T2  - IEEE Transactions on Automatic Control
UR  - http://dx.doi.org/10.1109/TAC.2015.2461093
UR  - http://hdl.handle.net/10044/1/32412
VL  - 99
ER  -

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